If a girl cycles at 10 kmph, then she arrives at a certain place at 1 p.m. If she cycles at 15 kmph, she will arrive at the same place at 11 a.m. At what speed must she cycle to get there at noon?

If a girl cycles at 10 kmph, then she arrives at a certain place at 1 p.m. If she cycles at 15 kmph, she will arrive at the same place at 11 a.m. At what speed must she cycle to get there at noon? Correct Answer 12 kmph

The distance is constant in this case.

Let the time taken for travel with a speed of 10 kmph be 't'.

Now the speed of 15 kmph is 3/2 times the speed of 10 kmph.

Therefore, time taken with the speed of 15 kmph will be 2t/3 (speed is inversely proportional to time)

Extra time taken = t - 2t/3 = t/3

=> 1pm - 11am = 2hrs

=> t/3 = 2h

=> t = 6 hrs.

Now, Distance = speed x time = 10 x 6 = 60 kms

Time he takes to reach at noon = 6 - 1 = 5 hrs

Now, Speed = 60/5 = 12 kmph.

Bissoy MCQ

Related Questions

If a man cycles at 10 km/hr, then he arrives at a certain place at 1 pm. If he cycles at 15 km/hr, he will arrive at the same place at 11 am. At what speed must he cycles to get there at noon?
If a man cycles at 10 km/hr , then he arrives at a certain place at 1 pm . If he cycles at 15km/hr, arrive at the same place at 11am . At what speed must he cycels to get there at noon ?
A and B start from the same point. A cycles 8 km South, then turns to her right and cycles 5 km. B cycles 3 km North, then turns West and cycles 5 km,then turns to her left and cycles 4 km. Where is B with respect to A now?
A and B start from the same point. A cycles 10 km South, then turns to her right and cycles 9 km. B cycles 2 km North, then turns West and cycles 15km, then turns to her left and cycles 12 km. Where is B with respect to A now?
Two lady cyclists A and B start from the same point. A cycles 3.5 km West, then turns to her right and cycles 7 km. B cycles 1 km East, then turnsNorth and cycles 7 km, then turns to her left and cycles 2 km. Where is B with respect to A now?
A contestant in a cycle race starts and cycles 3 km North, then turns East and cycles 5.5 km, then turns South and cycles 3 km, then turns to his left and cycles 7 km. Where is he now with respect to the starting position?
Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?
The admission ticket for an exhibition bears a password which is changed after every clock hour based on set of words chosen for each day. The following is an illustration of the code and steps of rearrangement for subsequent clock hours. The time is 9 a.m. to 3 p.m. Day's first password : First Batch ----- 9 a.m. to 10 a.m. is not ready cloth simple harmony burning Second Batch ----- 10 a.m. to 11 a.m. ready not is cloth burning harmony simple Third Batch ----- 11 a.m. to 12 noon cloth is not ready simple harmony burning Fourth Batch ----- 12 noon to 1 p.m. not is cloth ready burning harmony simple Fifth Batch ----- 1 p.m. to 2 p.m. ready cloth is not simple harmony burning and so on. If the password for 11 a.m. to 12 noon was --- "soap shy miss pen yet the she", what was the password for the first batch ?
P and Q start cycling from the same point. P cycles 18 km North, then turns to her right and cycles 3 km. Q cycles 9 km East, then turns North and cycles10 km North, then turns left and cycles 6 km. Where is Q now with respect to the position of P?
Priya cycles 5 km North, then turns East and cycles 4 km, then turns South and cycles 5 km, then turns to her right and cycles 6 km. Where is she now withreference to her starting position?