Two friends, Ram and Shyam, start at the same point, at the same time. Ram travels straight north at a speed of 10km/hr, while Shyam travels straight east at twice the speed of Ram. After 15 minutes, Shyam messages Ram that he is just passing by a large telephone tower and after another 15 minutes Ram messages Shyam that he is just passing by an old banyan tree. After some more time has elapsed, Ram and Shyam stop. They stop at the same point of time. If the straight-line distance between Ram and Shyam now is 50 km, how far is Shyam from the banyan tree (in km)? (Assume that Ram and Shyam travel on a flat surface.)
Everyday a bus leaves Delhi for Ambala and at the same instant another bus leaves Ambala for Delhi. The two buses cross each other at Karnal. Yesterday the bus leaving Delhi started late by 30 minutes, as a result of which it met the bus going in the opposite direction 12 km short of the usual meeting point. Today, the bus leaving Ambala started late by 30 minutes, as a result of which the two buses met 12 minutes later than their usual meeting time. What is the speed of the bus going from Delhi to Ambala?
A boy starts from his home at a certain time with a certain speed to pick up his girlfriend from office at 5.00pm. One day his girlfriend left the office at 3.00 pm and start walking to home at the speed of 40 km/hr and meet the boy in the way who left his home at his usual time .They reached home 40 min earlier than their usual time. Find the speed of the boy.
After travelling 180km, driver of a train thinks if he will go by same speed then he will be late. Then he increases the speed of train by 6.5 kmph and reaches at the scheduled time. Had he covered whole of the distance at the increased speed, he would have reached early by 40 minutes. If he had travelled whole of the distance at the original speed then he would be late by 14 minutes. Find the total distance
A and B start swimming from two ends of a 70 meter long swimming pool simultaneously at uniform speeds, The moment they reach the opposite ends , they turn back and keep on swimming. Speed of A and B is 7m/s and 3m/s respectively. How far will B be from his starting point when he meets A for the 4th time while swimming?
The reduction in the speed of an engine is directly proportional to the square of the number of bogies attached to it. The speed of the train is 100 km/hr when there are 4 bogies and 55 kmph when there are 5 bogies. What is the maximum number of bogies that can be attached to the train so that it can move?
Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the other train is 6 km/hr less than the faster one, its length, in m, is
Two trains A and B were moving in opposite DIRECTIONSs, their speeds being in the ratio 5 : 3. The front end of A crossed the rear end of B 46 seconds after the front ends of the trains had crossed each other. It took another 69 seconds for the rear ends of the trains to cross each other. The ratio of length of train A to that of train B is (CAT 2021)
Anil, Sunil, and Ravi run along a circular path of length 3 km, starting from the same point at the same time, and going in the clockwise direction. If they run at speeds of 15 km/hr, 10 km/hr, and 8 km/hr, respectively, how much distance in km will Ravi have run when Anil and Sunil meet again for the first time at the starting point? (CAT 2020)
A and B are two railway stations 90 km apart. A train leaves A at 9:00 am, heading towards B at a speed of 40 km/hr. Another train leaves B at 10:30 am, heading towards A at a speed of 20 km/hr. The trains meet each other at: (CAT 2020)
Vimla starts for office every day at 9 am and reaches exactly on time if she drives at her usual speed of 40 km/hr. She is late by 6 minutes if she drives at 35 km/hr. One day, she covers two-thirds of her distance to office in one-thirds of her usual time to reach office, and then stops for 8 minutes. The speed, in km/hr, at which she should drive the remaining distance to reach office exactly on time is (CAT 2020)
Navin takes 60 mins to reach Manoj’s house. Navin leaves his house for Manoj’s house with his dog. The speed of the dog is thrice that of Navin’s. The dog reaches Manoj’s house and comes back to meet Navin and again runs towards Manoj’s house and returns to Navin and so on. When will the dog meet Navin for the third time?
Train T leaves station X for station Y at 3 pm. Train S, traveling at (6/7)th of the speed of T, leaves Y for X at 5 pm. The two trains pass each other at a station Z, where the distance between X and Z is (5/8) of that between X and Y. How many hours does train T take for its journey from X to Y?
Alok started one hour after Bimol from city P towards city Q and crossed Bimol at a distance of 10 km from P. After reaching city Q, Alok immediately started moving back to city P along the same route. On the way back, he again met Bimol, who still needed 1 hour and 12 minutes to reach city Q. What is the distance between city P and city Q if Alok and Bimol travelled at a constant speed throughout the journey and Alok’s speed was 5 km/hr?
You travel by Delhi Metro every day from Botanical Garden, Noida to Hauz Khas, Delhi. At Hauz Khas metro station, you use an escalator to get out of the station. The escalator takes 80 seconds. One day, the escalator was not working and you walk up the escalator in 50 seconds. How many minutes does it approximately take you to walk down the working escalator?
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