Question

A car travels 300 km in 15 hours. a) How long will it take to travel 1000 km. b) How far will it travel in 8 hours with the same speed?
fast

Answer 1

a) It will take 50 hours to travel 1000 km.

b) It will travel 160 km in 8 hours with the same speed

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Let's understand a few concepts:

To solve the given problem we will use the following relations between distance, time and speed:

$\boxed{\bold{Distance = Speed \times Time}}$

$\boxed{\bold{Speed = \frac{Distance }{Time} }}$

$\boxed{\bold{Time = \frac{Distance }{Speed} }}$

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Let's solve the given problem:

The distance travelled by car = 300 km

The time taken by the car to travel 300 km = 15 hours

∴ The speed of the car will be = $\frac{Distance }{Time} = \frac{300 \:km}{15\:hr} = 20 \:km/hr$

a) Finding the required time to travel 1000 km:

Here we are given the distance travelled by car as 1000 km

Since the car is travelling at the same speed of 20 km/hr

∴ To travel 1000 km, the car will take = $\frac{Distance}{Speed} = \frac{1000\:km}{20\:km/hr} = \bold{50 \: hrs}$

Thus, it will take 50 hours to travel 1000 km.

b) Finding the required distance travelled in 8 hours:

Here we are given the time taken by the car travelling at the same speed of 20km/hr as 8 hrs.

∴ The distance travelled by car in 8 hrs,

= $Speed\times Time$

$= 20\:km/hr \times 8 \:hrs$

$= \bold{160 \: km}$

Thus, it will travel 160 km in 8 hrs at the same speed.

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