You can use the following query
SELECT * FROM cypher('stack75632692',$$
MATCH path = (a {name: 'Cavite Island'})-[*]->(b {name: 'Bastille'})
WITH path, relationships(path) AS edges
UNWIND edges AS edge
RETURN path, sum(edge.travelTime)
$$) as (path agtype, travelTime agtype);
Result:
path
| traveltime
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[{"id": 844424930131969, "label": "Metro", "properties": {"name": "Cavite Island"}}::vertex, {"id": 1125899906842626, "label": "HAS_ROUTE", "end_id": 844424930131974, "start_id": 8444249301
31969, "properties": {"travelTime": 3}}::edge, {"id": 844424930131974, "label": "Metro", "properties": {"name": "Fort Tilden"}}::vertex, {"id": 1125899906842633, "label": "HAS_ROUTE", "end_i
d": 844424930131979, "start_id": 844424930131974, "properties": {"travelTime": 13}}::edge, {"id": 844424930131979, "label": "Metro", "properties": {"name": "Brooklyn"}}::vertex, {"id": 11258
99906842636, "label": "HAS_ROUTE", "end_id": 844424930131986, "start_id": 844424930131979, "properties": {"travelTime": 5}}::edge, {"id": 844424930131986, "label": "Metro", "properties": {"n
ame": "The Ruins"}}::vertex, {"id": 1125899906842643, "label": "HAS_ROUTE", "end_id": 844424930131981, "start_id": 844424930131986, "properties": {"travelTime": 4}}::edge, {"id": 84442493013
1981, "label": "Metro", "properties": {"name": "Card Shark"}}::vertex, {"id": 1125899906842646, "label": "HAS_ROUTE", "end_id": 844424930131987, "start_id": 844424930131981, "properties": {"
travelTime": 4.5}}::edge, {"id": 844424930131987, "label": "Metro", "properties": {"name": "Phoenix"}}::vertex, {"id": 1125899906842653, "label": "HAS_ROUTE", "end_id": 844424930131988, "sta
rt_id": 844424930131987, "properties": {"travelTime": 10}}::edge, {"id": 844424930131988, "label": "Metro", "properties": {"name": "Bastille"}}::vertex]::path
| 39.5
[{"id": 844424930131969, "label": "Metro", "properties": {"name": "Cavite Island"}}::vertex, {"id": 1125899906842625, "label": "HAS_ROUTE", "end_id": 844424930131975, "start_id": 8444249301
31969, "properties": {"travelTime": 2.5}}::edge, {"id": 844424930131975, "label": "Metro", "properties": {"name": "Intramuros"}}::vertex, {"id": 1125899906842639, "label": "HAS_ROUTE", "end_
id": 844424930131988, "start_id": 844424930131975, "properties": {"travelTime": 16.5}}::edge, {"id": 844424930131988, "label": "Metro", "properties": {"name": "Bastille"}}::vertex]::path
| 19.0
[{"id": 844424930131969, "label": "Metro", "properties": {"name": "Cavite Island"}}::vertex, {"id": 1125899906842626, "label": "HAS_ROUTE", "end_id": 844424930131974, "start_id": 8444249301
31969, "properties": {"travelTime": 3}}::edge, {"id": 844424930131974, "label": "Metro", "properties": {"name": "Fort Tilden"}}::vertex, {"id": 1125899906842633, "label": "HAS_ROUTE", "end_i
d": 844424930131979, "start_id": 844424930131974, "properties": {"travelTime": 13}}::edge, {"id": 844424930131979, "label": "Metro", "properties": {"name": "Brooklyn"}}::vertex, {"id": 11258
99906842635, "label": "HAS_ROUTE", "end_id": 844424930131980, "start_id": 844424930131979, "properties": {"travelTime": 2.5}}::edge, {"id": 844424930131980, "label": "Metro", "properties": {
"name": "Uptown"}}::vertex, {"id": 1125899906842637, "label": "HAS_ROUTE", "end_id": 844424930131975, "start_id": 844424930131980, "properties": {"travelTime": 5}}::edge, {"id": 844424930131
975, "label": "Metro", "properties": {"name": "Intramuros"}}::vertex, {"id": 1125899906842638, "label": "HAS_ROUTE", "end_id": 844424930131976, "start_id": 844424930131975, "properties": {"t
ravelTime": 11}}::edge, {"id": 844424930131976, "label": "Metro", "properties": {"name": "China Town"}}::vertex, {"id": 1125899906842640, "label": "HAS_ROUTE", "end_id": 844424930131982, "st
art_id": 844424930131976, "properties": {"travelTime": 7.5}}::edge, {"id": 844424930131982, "label": "Metro", "properties": {"name": "Divisoria"}}::vertex, {"id": 1125899906842647, "label":
"HAS_ROUTE", "end_id": 844424930131988, "start_id": 844424930131982, "properties": {"travelTime": 6.5}}::edge, {"id": 844424930131988, "label": "Metro", "properties": {"name": "Bastille"}}::
vertex]::path | 48.5
[{"id": 844424930131969, "label": "Metro", "properties": {"name": "Cavite Island"}}::vertex, {"id": 1125899906842625, "label": "HAS_ROUTE", "end_id": 844424930131975, "start_id": 8444249301
31969, "properties": {"travelTime": 2.5}}::edge, {"id": 844424930131975, "label": "Metro", "properties": {"name": "Intramuros"}}::vertex, {"id": 1125899906842638, "label": "HAS_ROUTE", "end_
id": 844424930131976, "start_id": 844424930131975, "properties": {"travelTime": 11}}::edge, {"id": 844424930131976, "label": "Metro", "properties": {"name": "China Town"}}::vertex, {"id": 11
25899906842640, "label": "HAS_ROUTE", "end_id": 844424930131982, "start_id": 844424930131976, "properties": {"travelTime": 7.5}}::edge, {"id": 844424930131982, "label": "Metro", "properties"
: {"name": "Divisoria"}}::vertex, {"id": 1125899906842647, "label": "HAS_ROUTE", "end_id": 844424930131988, "start_id": 844424930131982, "properties": {"travelTime": 6.5}}::edge, {"id": 8444
24930131988, "label": "Metro", "properties": {"name": "Bastille"}}::vertex]::path
| 27.5
[{"id": 844424930131969, "label": "Metro", "properties": {"name": "Cavite Island"}}::vertex, {"id": 1125899906842626, "label": "HAS_ROUTE", "end_id": 844424930131974, "start_id": 8444249301
31969, "properties": {"travelTime": 3}}::edge, {"id": 844424930131974, "label": "Metro", "properties": {"name": "Fort Tilden"}}::vertex, {"id": 1125899906842633, "label": "HAS_ROUTE", "end_i
d": 844424930131979, "start_id": 844424930131974, "properties": {"travelTime": 13}}::edge, {"id": 844424930131979, "label": "Metro", "properties": {"name": "Brooklyn"}}::vertex, {"id": 11258
99906842636, "label": "HAS_ROUTE", "end_id": 844424930131986, "start_id": 844424930131979, "properties": {"travelTime": 5}}::edge, {"id": 844424930131986, "label": "Metro", "properties": {"n
ame": "The Ruins"}}::vertex, {"id": 1125899906842644, "label": "HAS_ROUTE", "end_id": 844424930131987, "start_id": 844424930131986, "properties": {"travelTime": 5.5}}::edge, {"id": 844424930
131987, "label": "Metro", "properties": {"name": "Phoenix"}}::vertex, {"id": 1125899906842653, "label": "HAS_ROUTE", "end_id": 844424930131988, "start_id": 844424930131987, "properties": {"t
ravelTime": 10}}::edge, {"id": 844424930131988, "label": "Metro", "properties": {"name": "Bastille"}}::vertex]::path
| 36.5
[{"id": 844424930131969, "label": "Metro", "properties": {"name": "Cavite Island"}}::vertex, {"id": 1125899906842626, "label": "HAS_ROUTE", "end_id": 844424930131974, "start_id": 8444249301
31969, "properties": {"travelTime": 3}}::edge, {"id": 844424930131974, "label": "Metro", "properties": {"name": "Fort Tilden"}}::vertex, {"id": 1125899906842633, "label": "HAS_ROUTE", "end_i
d": 844424930131979, "start_id": 844424930131974, "properties": {"travelTime": 13}}::edge, {"id": 844424930131979, "label": "Metro", "properties": {"name": "Brooklyn"}}::vertex, {"id": 11258
99906842635, "label": "HAS_ROUTE", "end_id": 844424930131980, "start_id": 844424930131979, "properties": {"travelTime": 2.5}}::edge, {"id": 844424930131980, "label": "Metro", "properties": {
"name": "Uptown"}}::vertex, {"id": 1125899906842637, "label": "HAS_ROUTE", "end_id": 844424930131975, "start_id": 844424930131980, "properties": {"travelTime": 5}}::edge, {"id": 844424930131
975, "label": "Metro", "properties": {"name": "Intramuros"}}::vertex, {"id": 1125899906842639, "label": "HAS_ROUTE", "end_id": 844424930131988, "start_id": 844424930131975, "properties": {"t
ravelTime": 16.5}}::edge, {"id": 844424930131988, "label": "Metro", "properties": {"name": "Bastille"}}::vertex]::path
| 40.0
(6 rows)
For this to work, please pull the recent commits of age on master branch.