Question

14. A car runs 60 km in 1½
hours

(i) How much distance will it cover in 5 hours?
(ii) How much time will it take to cover 75 km.​

Answer 1

Answer:

Distance travelled in 5 hr = 200 km

Time taken by car to travel 75 km = 1.875 hr

Step-by-step explanation:

Given :

Distance = 60 km

Time = $\sf{1\dfrac{1}{2}}$

To find :

(i) How much distance will it cover in 5 hours ?

(ii) How much time will it take to cover 75 km ?

Taken :

To find the distance travelled in 5 hr first find the distance travelled in 1 hr . After that multiply it with 5 hr .

So , the equation will like this -:

$\boxed{\tt{D_{5hr}=(60km\div1\dfrac{1}{2})\times5hr}}$

To find the time taken to by car to travel 75 km use this formula -:

$\boxed{\tt{T=\dfrac{75km}{D_{1hr}}}}$

Solution :

▪︎Distance travelled in 5 hr -:

$:\implies\rm{D_{5hr}=(60km\div1\dfrac{1}{2})\times5hr}$

$:\implies\rm{D_{5hr}=(60km\div\dfrac{3}{2})\times5hr}$

$:\implies\rm{D_{5hr}=(\cancel{60km}\times\dfrac{2}{\cancel{3}})\times5hr}$

$:\implies\rm{D_{5hr}=(20km\times2)\times5hr}$

$:\implies\rm{D_{5hr}=40km\times5hr}$

$:\implies\rm{D_{5hr}=200km}$

▪︎Time taken to travel 75 km -:

$:\implies\rm{T=\cancel{\dfrac{75km}{40km}}}$

$:\implies\rm{T=1.875hr}$

Answer 2

Answer:

How much time will it take to cover 75 km.