The ratio of the speeds of two trains is 5 : 8. If the second train runs 600…
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The ratio of the speeds of two trains is 5 : 8. If the second train runs 600 km in 4 hours, then the speed of the first train (in km/h) is:
- A.
50 km/hr
- B.
93.75 km/hr
- C.
66.66 km/hr
- D.
72.5 km/hr
Attempted by 29 students.
Show answer & explanation
Correct answer: B
Step 1: Find the speed of the second train.
Speed of second train = distance ÷ time = 600 ÷ 4 = 150 km/h.
Step 2: Use the ratio 5:8. Let the speeds be 5a and 8a.
Since 8a = 150, a = 150 ÷ 8 = 18.75.
First train's speed = 5a = 5 × 18.75 = 93.75 km/h.
Final answer: 93.75 km/h.