Raman drove from home to a neighbouring town at the speed of 50 km/hr and on…
2024
Raman drove from home to a neighbouring town at the speed of 50 km/hr and on his return journey, he drove at the speed of 45 km/hr and also took an hour longer to reach home. What distance did he cover each way?
Answer: A. 450 km — Answer: 450 km Let the one-way distance be x km. Time taken to go to the town = x/50 hours. Time taken to return = x/45 hours. Return journey took 1 hour…
- A.
450 km
- B.
225 km
- C.
900 km
- D.
500 km
Attempted by 48 students.
Show answer & explanation
Correct answer: A
Answer: 450 km
Let the one-way distance be x km.
Time taken to go to the town = x/50 hours.
Time taken to return = x/45 hours.
Return journey took 1 hour longer, so set up the equation: x/45 - x/50 = 1.
Solve the equation: use common denominator 450: (10x - 9x)/450 = 1 ⇒ x/450 = 1 ⇒ x = 450 km.
Check: time going = 450/50 = 9 hours; time returning = 450/45 = 10 hours; difference = 1 hour. Works correctly.