Question

27: A man driving his moped at 24 kmph reaches his destination 5 minutes late to an
appointment. If he had driven at 30 kmph he would have reached his destination
4 minutes before time. How far is his destination?​

Answer 1

EXPLANATION.

A man driving his moped at 24 km/hr

reaches his destination = 5 minutes.

if he had driven at 30 km/hr he would have

reached his destination = 4 min before time.

To find how far is his destination?

According to the question,

Let the distance be = x km

time taken to cover x km at 24 km/hr

=> x/24 hr.

time taken to cover x km at 30 km/hr

=> x/30 hr.

difference between two timing

=> 5 + 4 = 9 minutes.

=> 9/60 hr.

Therefore,

$\rm \: \to \: \frac{x}{24} - \frac{x}{30} = \frac{9}{60}$

$\rm \: \to \: \frac{5x - 4x}{120} = \frac{9}{60}$

$\rm \: \to \: \frac{x}{2} = 9$

=> x = 18 km

Distance = 18 km

Answer 2

Answer:

18 km

Step-by-step explanation:

Assume that the distance covered by man is x km.

Time = Distance/Speed

So, time taken to complete x km at 30 km/hr is x/30 hr.

Similarly, time taken to complete x km at 24 km/hr is x/24 hr.

Total time = (5 + 4) = 9 min = 9/60 hr

As per given condition,

→ x/24 - x/30 = 9/60

→ (5x - 4x)/120 = 9/60

→ x/2 = 9

→ x = 18

Hence, the distance is 18 km.