Question

Solve the following .
A car travelling at a uniform speed covers a distance of 165 km in 3 hours. At that same speed,
(a) How long will it take to cover a distance of 330 km?
(b) How far will it travel in 8 hours?

Answer 1

(a)
Time taken by car to cover 165 km = 3 hours
∴ Time taken by car to cover 1 km = $\frac{3}{165}$=$\frac{1}{55}$ hours
⇒ Time taken by car to cover 330 km = $\frac{1}{55}\times 330$ = 6 hours
Thus, the time taken by car to cover a distance of 330 km is 6 hours.
(b)
Distance covered by the car in 3 hours = 165 km
∴ Distance covered by the car in 1 hour = $\frac{165}{3}$ = 55 km
⇒ Distance covered by the car in 8 hours = 55 × 8 = 440 km
Thus, the distance travelled by the car in 8 hours is 440 km.