Question

A car travels 150km in 2hours 30minutes and a train travels 160km in 2hours. Find the ratio of their speeds

Answer 1

Answer: The ratio of the speed of car to the speed of the train is 3:4

Step-by-step explanation:

Given: A car travels 150km in 2hours 30minutes and a train travels 160km in 2hours.

To find: The ratio of their  speed.​  

Analyzing the data:

Distance covered by car = 150km

Time taken by car= 2 hours 30min;

We will need to convert 30min to hours,

since 60min = 1 hour, therefore, 30min = $\frac{1}{2}$ hour

∴ time taken by car in hour = 2 +  $\frac{1}{2}$ = $\frac{4+1}{2}$ = $\frac{5}{2}$ hours

we know that, speed = $\frac{distance}{time taken}$

Hence, speed of the car = $\frac{150}{\frac{5}{2} }$ =  $\frac{150}{1}$ x $\frac{2}{5}$ = 60 km/h

Similarly,  

Distance covered by train = 160km  

Time taken by train= 2 hours

we know that, speed = $\frac{distance}{time taken}$

Hence, speed of the train = $\frac{160}{2}$ = 80 km/h

Now let us find the ratio,

i.e, speed of car : speed of train

= 60 : 80

= $\frac{60}{80}$ = $\frac{3}{4}$

= 3:4

Therefore, the ratio of the speed of car to the speed of the train is 3:4