The ratio between the speeds of a bus and car is 8:6. If the car travels 200…
2024
The ratio between the speeds of a bus and car is 8:6. If the car travels 200 km in 2 hours, find the speed of the bus.
- A.
131.3 km/hr
- B.
133.3 km/hr
- C.
135.3 km/hr
- D.
137.3 km/hr
Attempted by 3 students.
Show answer & explanation
Correct answer: B
The correct option is B: 133.3 km/hr.
Detailed Explanation
To find the speed of the bus, follow these steps:
Calculate the speed of the car:
Speed of car = Distance / Time = 200 km / 2 hours = 100 km/hr.
Use the given ratio:
The ratio of the speed of the bus to the car is 8:6. Let the speeds be 8X and 6X.
Given that the speed of the car (6X) is 100 km/hr, we can solve for X:
6X = 100 implies X = 100 / 6 = 50 / 3 km/hr.
Find the speed of the bus:
Speed of bus = 8X = 8 * (50 / 3) = 400 / 3 km/hr = 133.3 km/hr.