Question

oranges
A car travels 60 kom in 1 hr 30 min, How long will it take to cover a distance of
100 km at the same speed?​

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The time taken to travel 100 km is 2 hours 30 minutes.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

A car travels = 60 km in 1hour 30 minutes

To find :

With the same speed, what would be the time required to cover 100 km

Solution :

Case I

Here,

Distance (D) = 60 km

Time (T) = 1 hour 30 minutes

Speed = ?

First, convert 1 hours 30 minutes into hours.

$\implies$ 90 ÷ 60

$\implies$ 1.5 hours

★ We know that :

$\boxed{\sf{Speed = \frac{Distance \: Travelled}{Time \: Taken}}}$

$\sf{\implies} \:Speed = \dfrac{60}{1.5}$

$\sf{\implies} \:Speed = \dfrac{60 \times 10}{1.5 \times 10}$

$\sf{\implies} \:Speed = \dfrac{600}{15}$

$\sf{\implies} \:Speed = 40$

$\therefore$ The Speed is 40 km per hr.

Case II

Here,

Speed (S) = 40 km/ph

Distance (D) = 100 km

Time (T) = ?

$\sf{\implies} \:40 = \dfrac{100}{T}$

$\sf{\implies} \:T= \dfrac{100}{40}$

$\sf{\implies} \:T = 2.5$

Time taken = 2.5 hours

$\therefore$ The time taken to travel 100 km is 2 hours 30 minutes.

Answer 2

S = d / t = 60 km / 1.5 hr = 40 km/hr.T = 100 / 40 = 2.5hr. Ans. or 2hr. 30min.