A motorcyclist left point A for point B. Two hours later, another motorcyclist left A for B and arrived at B at the same time as the first motorcyclist. Had both the motorcyclists started simultaneously from A and B travelling towards each other, they would have met in 80 minutes. How much time did it take the faster motorcyclist to travel from A to B?

CAT Question

By Ananya #Saloni · 4 weeks ago ·CAT
Prateek Saxena answered 4 weeks ago
2 hours is answer
in first case distance is same, so D = S1T = S2(T-2). From this we get S1 = S2(T-2)/T. Also when they are travelling towards each other. D = (S1 + S2)(80/60). So, S1 = 4S2/(3T-4). Now equate it with S1 = S2(T-2)/T. we will get T = 4 or T = 2/3. But T≠2/3 because time taken by fast motorcyclist is T -2 which will be negative if we take T = 2/3. therefore T = 4, and reqd time = T - 2 = 2hours

This discussion on A motorcyclist left point A for point B. Two hours later, another motorcyclist left A for B and arrived at B at the same time as the first motorcyclist. Had both the motorcyclists started simultaneously from A and B travelling towards each other, they would have met in 80 minutes. How much time did it take the faster motorcyclist to travel from A to B? is done on EduRev Study Group by CAT Students. The Questions and Answers of A motorcyclist left point A for point B. Two hours later, another motorcyclist left A for B and arrived at B at the same time as the first motorcyclist. Had both the motorcyclists started simultaneously from A and B travelling towards each other, they would have met in 80 minutes. How much time did it take the faster motorcyclist to travel from A to B? are solved by group of students and teacher of CAT, which is also the largest student community of CAT. If the answer is not available please wait for a while and a community member will probably answer this soon. You can study other questions, MCQs, videos and tests for CAT on EduRev and even discuss your questions like A motorcyclist left point A for point B. Two hours later, another motorcyclist left A for B and arrived at B at the same time as the first motorcyclist. Had both the motorcyclists started simultaneously from A and B travelling towards each other, they would have met in 80 minutes. How much time did it take the faster motorcyclist to travel from A to B? over here on EduRev! Apart from being the largest CAT community, EduRev has the largest solved Question bank for CAT.