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If Mary and Sue enter a 750 meter swimming competition in which Mary gives Sue a 2 minute headstart, will Mary overtake Sue over the course of the race?
(1) Mary swims at a constant rate greater than 1.5 meters per second
(2) Sue swims at a constant rate less than 1.3 meters per second
(1) Mary swims at a constant rate greater than 1.5 meters per second
(2) Sue swims at a constant rate less than 1.3 meters per second
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Updated on: 12 Jul 2019, 02:20
Originally posted by prashanths on 11 Jul 2019, 08:44.
Last edited by prashanths on 12 Jul 2019, 02:20, edited 1 time in total.
Last edited by prashanths on 12 Jul 2019, 02:20, edited 1 time in total.
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If Mary and Sue enter a 750 meter swimming competition in which Mary gives Sue a 2 minute headstart, will Mary overtake Sue over the course of the race?
(1) Mary swims at a constant rate greater than 1.5 meters per second
(2) Sue swims at a constant rate less than 1.3 meters per second
Total distance = 750m. Mary's time = Sue's + 120sec
(1) Mary swims at a constant rate greater than 1.5 meters per second
If mary's speed = 1.5m/s, time taken would be 750/1.5 = 500s (max time)
This is not sufficient since we do not know about Sue's speed
(2) Sue swims at a constant rate less than 1.3 meters per second
If sue's speed = 1.3m/s, time taken = 750/1.3 = 576s (min time)
This is not sufficient since we do not know about Mary's speed
Combining both statements together, mary's time < 500, if speed = 2m/s, time = 375s
sue's time > 576, if speed = 1m/s, time = 750 s
In this scenario Mary will definitely overtake.
However, if mary's speed is close to 1.5, time slightly less than 500s
similarly if sue's speed is close to 1.3m/s, time taken is slightly more than 576s
The difference is < 120 sec
In this scenario Mary will not overtake.
Both statements together are not sufficient.
Option E
Posted from my mobile device
(1) Mary swims at a constant rate greater than 1.5 meters per second
(2) Sue swims at a constant rate less than 1.3 meters per second
Total distance = 750m. Mary's time = Sue's + 120sec
(1) Mary swims at a constant rate greater than 1.5 meters per second
If mary's speed = 1.5m/s, time taken would be 750/1.5 = 500s (max time)
This is not sufficient since we do not know about Sue's speed
(2) Sue swims at a constant rate less than 1.3 meters per second
If sue's speed = 1.3m/s, time taken = 750/1.3 = 576s (min time)
This is not sufficient since we do not know about Mary's speed
Combining both statements together, mary's time < 500, if speed = 2m/s, time = 375s
sue's time > 576, if speed = 1m/s, time = 750 s
In this scenario Mary will definitely overtake.
However, if mary's speed is close to 1.5, time slightly less than 500s
similarly if sue's speed is close to 1.3m/s, time taken is slightly more than 576s
The difference is < 120 sec
In this scenario Mary will not overtake.
Both statements together are not sufficient.
Option E
Posted from my mobile device
General Discussion
If Mary and Sue enter a 750 meter swimming competition in which Mary gives Sue a 2 minute headstart, will Mary overtake Sue over the course of the race?
(1) Mary swims at a constant rate greater than 1.5 meters per second
(2) Sue swims at a constant rate less than 1.3 meters per second
Gevin P: Mary and Sue enter a 750 meter swimming competition in which Mary gives Sue a 2 minute headstart
Question Q: Will Mary overtake Sue over the course of the race?
Statement S1:
Mary swims at a constant rate greater than 1.5 meters per second
Mary will complete 750 m in less than 750/1.5 = 500 seconds
Mary will overtake Sue if she covers headstart distance before Sue reaches the end of the race or completes 750 m.
Since Sue's speed is not known
NOT SUFFICIENT
Statement S2:
(2) Sue swims at a constant rate less than 1.3 meters per second
Sue had a headstart of <1.3*2*60 = 156 m
Sue had to swim > 750 - 156 = 594 m before Mary complete 750m
Since Mary's speed is not known
NOT SUFFICIENT
Statement S1 & S2 together:
S1: Mary swims at a constant rate greater than 1.5 meters per second
S2: Sue swims at a constant rate less than 1.3 meters per second
Mary swims the entire distance of 750m in < 750/1.5 = 500 seconds
Sue had a headstart of 2 mins or <156m
She swims the balance (>(700-156) or >594 m) in greater than 594/1.3 > 456.92 seconds
If Sue takes more than 500 seconds time to finish than Mary will definitely overtake her, otherwise it will depend on their actual speeds.
NOT SUFFICIENT.
IMO E
(1) Mary swims at a constant rate greater than 1.5 meters per second
(2) Sue swims at a constant rate less than 1.3 meters per second
Gevin P: Mary and Sue enter a 750 meter swimming competition in which Mary gives Sue a 2 minute headstart
Question Q: Will Mary overtake Sue over the course of the race?
Statement S1:
Mary swims at a constant rate greater than 1.5 meters per second
Mary will complete 750 m in less than 750/1.5 = 500 seconds
Mary will overtake Sue if she covers headstart distance before Sue reaches the end of the race or completes 750 m.
Since Sue's speed is not known
NOT SUFFICIENT
Statement S2:
(2) Sue swims at a constant rate less than 1.3 meters per second
Sue had a headstart of <1.3*2*60 = 156 m
Sue had to swim > 750 - 156 = 594 m before Mary complete 750m
Since Mary's speed is not known
NOT SUFFICIENT
Statement S1 & S2 together:
S1: Mary swims at a constant rate greater than 1.5 meters per second
S2: Sue swims at a constant rate less than 1.3 meters per second
Mary swims the entire distance of 750m in < 750/1.5 = 500 seconds
Sue had a headstart of 2 mins or <156m
She swims the balance (>(700-156) or >594 m) in greater than 594/1.3 > 456.92 seconds
If Sue takes more than 500 seconds time to finish than Mary will definitely overtake her, otherwise it will depend on their actual speeds.
NOT SUFFICIENT.
IMO E
