Home
Class 10
MATHS
A car is ahead a motor cyclist by 40 km,...

A car is ahead a motor cyclist by 40 km, the car is running at 40 km/h and the motor cyclist at 50 km/h. After how much time motor cyclist cross the car?

A

3h

B

4h

C

`3(1)/(2)h`

D

2.4h

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we will follow these calculations: ### Step 1: Understand the scenario We have a car and a motorcyclist. The car is 40 km ahead of the motorcyclist. The car travels at a speed of 40 km/h, while the motorcyclist travels at a speed of 50 km/h. ### Step 2: Determine the relative speed Since both the car and the motorcyclist are moving in the same direction, we can find the relative speed of the motorcyclist with respect to the car. Relative speed = Speed of motorcyclist - Speed of car = 50 km/h - 40 km/h = 10 km/h ### Step 3: Calculate the time taken to close the distance Now, we need to find out how long it will take for the motorcyclist to cover the 40 km distance that separates him from the car. We can use the formula: Time = Distance / Speed Here, the distance is 40 km and the relative speed is 10 km/h. Time = 40 km / 10 km/h = 4 hours ### Final Answer The motorcyclist will cross the car after 4 hours. ---
Promotional Banner

Topper's Solved these Questions

  • IMO QUESTION PAPER 2020 SET 2

    SCIENCE OLYMPIAD FOUNDATION |Exercise Achievers Section|4 Videos

  • IMO QUESTION PAPER 2020 SET 2

    SCIENCE OLYMPIAD FOUNDATION |Exercise Achievers Section|4 Videos

  • IMO QUESTION PAPER 2020 SET 1

    SCIENCE OLYMPIAD FOUNDATION |Exercise Achievers Section|5 Videos

  • INTRODUCTION TO TRIGONOMETRY

    SCIENCE OLYMPIAD FOUNDATION |Exercise ACHIEVERS SECTION (HOTS)|5 Videos

Similar Questions

Explore conceptually related problems

A car is ahead of a scooter by 30 km, car goes at the rate of 50 km an hour and the scooter goes at the rate of 60 km an hour. The scooter overtake the car after

A train moving with a velocity of 18 km/hr blows a whistle which is heard by a motor cyclist driving with speed of 6 km/h with the frequency received as 200 cps. The actual frequency when train and motor cyclist are moving in opposite directions and approaching towards each other will be (Speed of sound is 340 m/s, cps is cycle per second)

A pigeon flies at 36 km/h to and for between two cars moving toward each other on a straight road, starting from the first car when the car separation is 40 km. The first car has speed of 16 km/h and the second one has a speed of 25 km/h. By the time the cars meet head on, what are the (a) total distance and (b) net displacement flown by the pigeon ?

Two cyclists travel with a constant speed. One cyclist travels 30 kms in 2 hrs, then in how many hours the other cyclist travels 40 kms.

A white car running at a speed of 72 km/hr is approaching a black car at a speed of 54 km/hr from a distance of 32 m behind. In how much time will it cross the black car?