Question

Ram travels at the rate of 3km/hr and he reaches his school 15 min late . If he travels at the rate of 4km/hr he reaches 15 min earlier. The distance Ram has to travel is​

Answer 1

Answer:

6 km

Step-by-step explanation:

Let the distance = d

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

If Ram travels at 3 km/hr, it takes 15 minutes more ($\frac{1}{4}$ hours)

(t + $\frac{1}{4}$) = $\frac{d}{3}$

t = $\frac{d}{3}$ - $\frac{1}{4}$          . . . (1)

If Ram travels at 4 km/hr, it takes 15 minutes less ($\frac{1}{4}$ hours)

(t - $\frac{1}{4}$) = $\frac{d}{4}$

t = $\frac{d}{4}$ + $\frac{1}{4}$          . . . (2)

Equating (1) and (2)

$\frac{d}{3}$ - $\frac{1}{4}$ = $\frac{d}{4}$ + $\frac{1}{4}$

⇒ $\frac{d}{3}$ - $\frac{d}{4}$ = $\frac{1}{4}$ + $\frac{1}{4}$

⇒ $\frac{d}{12}$ = $\frac{2}{4}$

⇒ d = 6

Answer 2

Answer:

6 kms

Step-by-step explanation:

See the attachment