Question

126. A bullock cart has to cover a distance of 80 km in 10 hours. If the bullock cart
covers half of its journey in 3/5 time, what should be speed in km/hour to cover the
remaining distance in the time left?
​

Answer 1

Step-by-step explanation:

$\sf \red {\underline{\underline{Given:-}}}$

• Total distance to be covered = 80km

• Total time = 10 hours

• The cart covers half of its distance in ⅗ of the total time.

$\sf \blue {\underline{\underline{To\:Find:-}}}$

• Speed required to cover the remaining distance in the time left

$\sf \green{\underline{\underline{Solution:-}}}$

Given, it has already covered half of the distance.

= $\sf \dfrac{1}{2} \times 80$

= 40km

Remaining distance = 80km - 40km

= 40km

⅗ of the time

= $\sf \dfrac{3}{5} \times 10$

= $\sf3 × 2$

= $\sf 6 hours$

Remaining time = 10 hours - 6 hours

= 4 hours

$\sf Speed \: required \: to \: cover \: the \: remaining \: distance \: in \: remaining \: time:-$

$= \boxed{ \sf \purple{ \dfrac{Remaining \: \: distance}{Remaining \: \: time} }}$

$= \sf \dfrac{40}{4}$

$\sf = 10$

Hence;

$\boxed { \sf \pink{Required \: \: speed \: = 10km/hr}}$