Question

Ramesh covers 2/3 of a certain distance at 4 kmph and the remaining at 5 kmph. If he takes 42 min in all. The distance is ?

Answer 1

Answer:

The total distance is 3 kms.

Step-by-step explanation:

Let d be the total distance.

Distance traveled at 4 km/h = $\frac{2}{3}d$

Distance traveled at 5 km/h = (1 - $\frac{2}{3}$)d = $\frac{1}{3}d$

Total time = 42 min = 0.7 h = $\frac{7}{10}$ h

We know that:

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

= $\frac{ \frac{2}{3}d}{4} + \frac{\frac{1}{3}d}{5}$

= $\frac{1}{6}d$ + $\frac{1}{15}d$

= $\frac{7}{30}d$ h

Now we have:

$\frac{7}{10}$ = $\frac{7}{30}d$

Then:

d = $\frac{7 x 30}{7 x 10}$ = 3 km

Hence, the total distance is 3 kms.