Question

A distance of 500km is covered in 9hrs, partly at 50km/hr remaining at 60km/hr. Find the distance covered at 50km/hr

Answer 1

Answer:

200 km

Step-by-step explanation:

Distance covered at 50 kmph = x

Distance covered at 60 kmph = (500-x)

Total time = 9 hrs.

$\frac{distance}{speed} = time$

Time required to travel x km at 50 kmph = x/50

Time required to travel (500-x) km at 60 kmph=(500-x)/60

$\frac{x}{50} + \frac{(500 - x)}{60} = 9$

$6x + 2500 - 5x = 90 \times 30$

$x = 200 \: km$

Distance covered at 50 kmph = x = 200 km