Question
A train can cross a pole in 10 seconds while it can
cross a 360 metres long platform in 30 seconds. Find the time (in hours) taken by the train to cover a distance of 648 km if the train increased its speed by 50%.Solution
Let speed of train is ‘x’ m/s while length of the train is ‘l’ metres.
So, l = 10x
And, l + 360 = 30x
⇒ 10x + 360 = 30x
⇒ 20x = 360
⇒ x = 18
Speed of train = 18 × 18/5 = 64.8 km/h
Increased speed = 1.5 × 64.8 = 97.2 km/h
Desired time = 648 / 97.2 = 6.66 hours
- Two runners, ‘M’ and ‘N’, started from opposite ends of a track towards each other at the same time. When they met after 3 hours, runner ‘N’ ha...
A Truck travel 300 km in 7 hours 30 minutes, if the speed of Bike 20% more than that of Truck, then find the time taken by Bike to travel 720 km.
Buses start from a bus terminal with a speed of 10 km/hr at intervals of 8 minutes. What is the speed of a boy coming from the opposite direction toward...
Vicky and Vikram start running simultaneously around a rectangular track of length 500m from the same point at speeds of 30 km/hr and 20 km/hr. When wil...
The speed of ‘A’ and ‘B’ is 60 km/hr and 30 km/hr, respectively. If the distance covered by ‘A’ in ‘x’ hours is 240 km more than that by...
Two cyclists, C and D, ride at speeds of 30 km/hr and 50 km/hr respectively. If C covers 40 km less distance than D in the same duration, find the dista...
A person crosses a 1600 m long street in 4 min. What is his speed (in km/h)?
A cyclist is 1,200 metres ahead of a motorbike when the motorbike starts chasing at 25 m/s. If the cyclist is riding at 15 m/s, then find the time take...
A boy goes to his school at 1/6th of the speed at which he returns from his school. Average speed during the whole trip (i.e. one round) is 24 km/h. Wha...
Amrit and Rohan were traveling from point A to point B. Amrit took 72 minutes longer than Rohan to reach point B. Their respective speeds were 50 km/h a...
Relevant for Exams:
