A bus is traveling from City A to City B. If the bus doesn't stop anywhere on…
2024
A bus is traveling from City A to City B. If the bus doesn't stop anywhere on the way, its average speed works out to 50 km/hr but if it takes 4 stops of 15 min each, the average speed works out to 40 km/hr. Find the distance between the two cities.
- A.
300 Kms
- B.
400 Kms
- C.
200 Kms
- D.
280 Kms
Attempted by 50 students.
Show answer & explanation
Correct answer: C
Let the distance between the two cities be D km.
If the bus doesn't stop, the travel time is D/50 hours.
Four stops of 15 minutes each add 1 hour in total. With stops, the average speed is 40 km/hr, so the total time including stops is D/40 hours.
Set up the equation: D/40 = D/50 + 1.
Solve: D(1/40 − 1/50) = 1 ⇒ D(1/200) = 1 ⇒ D = 200.
Answer: 200 Kms