Question

Ratio of speeds of two vehicles is 7 : 8. If the second vehicle covers 400 km in 5 hours, what is the speed of the first vehicle?

• A. 65 km/h
• B. 85 km/h
• C. 70 km/h
• D. 75 km/h

Answer 1

Answer:

C. 70 km/h

1. Find the speed of the second vehicle:

• Speed = Distance / Time

• Speed of the second vehicle = 400 km / 5 hours = 80 km/h

2. Use the speed ratio to find the speed of the first vehicle:

• The ratio of their speeds is 7:8.

• Let the speed of the first vehicle be 7x and the speed of the second vehicle be 8x.

• We know 8x = 80 km/h (from step 1)

• Therefore, x = 80 km/h / 8 = 10 km/h

3. Calculate the speed of the first vehicle:

• Speed of the first vehicle = 7x = 7 * 10 km/h = 70 km/h

Therefore, the speed of the first vehicle is 70 km/h.