Question

A person completes 68 km in 50 minutes via Jeep. Starting 20 minutes, he travels by x km/hr and next 25 minutes by 2x km/hr and rest time by 3x km/hr. What is the value of x ?
(A) 64 (B) 36
(C) 49 (D) 48

Answer 1

To find:

The value of x from the given conditions

Step-by-step explanation:

We know that, distance = speed × time

First 20 minutes, he travels by x km/h. Then the distance travelled in that time

= x * 20/60 km, since 20 minutes = 20/60 hour

= x * 1/3 km

= x/3 km

Next 25 minutes, he travels by 2x km/h. Then the distance travelled in that time

= 2x * 25/60 km, since 25 minutes = 25/60 hour

= 5x/6 km

Rest 50 - (20 + 25) minutes = 5 minutes, he travels by 3x km/h. Then the distance travelled in that time

= 3x * 5/60 km, since 5 minutes = 5/60 hour

= x/4 km

By the given condition,

total distance = 68 km

⇒ x/3 + 5x/6 + x/4 = 68

⇒ 17x/12 = 68

⇒ x = 68 * 12/17

⇒ x = 48

Final answer: (D) x = 48

Answer 2

Step-by-step explanation:

Answer is (d) 48 , everything is explained above