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21 Jun 2024, 01:31
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
59% (02:14) correct
41%
(01:37)
wrong
based on 133
sessions
History
Date
Time
Result
Not Attempted Yet
Amy and Maria leave separately on their bikes from the same point of a shopping mall to go to a restaurant for dinner. If Amy leaves first, how many minutes will Maria bike before she is 0.2 miles ahead of Amy?
(1) Amy leaves 10 minutes ahead of Maria.
(2) Maria bikes 2 miles per hour faster than Amy.
(1) Amy leaves 10 minutes ahead of Maria.
(2) Maria bikes 2 miles per hour faster than Amy.
I think E,
Given - Amy and Maria leave separately on their bikes from the same point of a shopping mall to go to a restaurant for dinner.
To find - If Amy leaves first, how many minutes will Maria bike before she is 0.2 miles ahead of Amy lets check statements.
1st - Amy leaves 10 minutes ahead of Maria.
Assuming amy traveling at speed a mph, So Maria needs to cover the lead of 10 min that has been given to amy first before she takes 0.2 miles lead.
Distance covered by amy in 10 minutes before maria starts = a * 10 / 60 = a/6.
Nothing else is given. Not sufficient.
2nd - Maria bikes 2 miles per hour faster than Amy.
Maria speed = a + 2 mph.
Relative speed = Maria speed - Amy speed = 2 mph
From here we can only calculate time taken by maria to take lead of 0.2 miles after maria crosses amy
t' = Lead distance / Relative speed = 0.2 / 2 = 0.1 hr
but we need total time for maria that we can't calculate unless we know the earlier lead of 10 min which was given to amy and we dont have anything else to calculate that. Hence Not sufficient.
Now after combining both, t = time taken by maria to cover the lead of first 10 min of amy
= Distance covered by amy in 10 min / Relative speed
= (a/6) / 2 = a/12
but we dont know amy speed hence we cant conclude anything.
Given - Amy and Maria leave separately on their bikes from the same point of a shopping mall to go to a restaurant for dinner.
To find - If Amy leaves first, how many minutes will Maria bike before she is 0.2 miles ahead of Amy lets check statements.
1st - Amy leaves 10 minutes ahead of Maria.
Assuming amy traveling at speed a mph, So Maria needs to cover the lead of 10 min that has been given to amy first before she takes 0.2 miles lead.
Distance covered by amy in 10 minutes before maria starts = a * 10 / 60 = a/6.
Nothing else is given. Not sufficient.
2nd - Maria bikes 2 miles per hour faster than Amy.
Maria speed = a + 2 mph.
Relative speed = Maria speed - Amy speed = 2 mph
From here we can only calculate time taken by maria to take lead of 0.2 miles after maria crosses amy
t' = Lead distance / Relative speed = 0.2 / 2 = 0.1 hr
but we need total time for maria that we can't calculate unless we know the earlier lead of 10 min which was given to amy and we dont have anything else to calculate that. Hence Not sufficient.
Now after combining both, t = time taken by maria to cover the lead of first 10 min of amy
= Distance covered by amy in 10 min / Relative speed
= (a/6) / 2 = a/12
but we dont know amy speed hence we cant conclude anything.
22 Jun 2024, 00:35
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Distance travelled by Maria = Distance by Amy + 0.2 miles (Relation of Distance travelled by them)
Statement 1: Amy leaves 10 minutes ahead of Maria
Amy takes 10 minutes more than Maria - Relation of time taken by them. Not Sufficient
Statement 2: Maria bikes 2 miles per hour faster than Amy
Speed of Maria = Speed of Amy + 2 mph - Relation of their speeds. Not Sufficient
TOGETHER: We have all 3 variables (Distance, Time & Speed) in relation with each other. No Absolute value is known.Hence Not Sufficient
Answer is Option E
Statement 1: Amy leaves 10 minutes ahead of Maria
Amy takes 10 minutes more than Maria - Relation of time taken by them. Not Sufficient
Statement 2: Maria bikes 2 miles per hour faster than Amy
Speed of Maria = Speed of Amy + 2 mph - Relation of their speeds. Not Sufficient
TOGETHER: We have all 3 variables (Distance, Time & Speed) in relation with each other. No Absolute value is known.Hence Not Sufficient
Answer is Option E
