Question : Ram travels with speeds of 15 km/hr, 10km/hr, and 12 km/hr for three equal distances. What is his average speed if the total distance travelled by him is 180 km?
Option 1: 15 km/hr
Option 2: 18 km/hr
Option 3: 20 km/hr
Option 4: 12 km/hr
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Correct Answer: 12 km/hr
Solution : Given: Ram travels with speeds of 15 km/hr, 10km/hr and 12 km/hr for three equal distances. The total distance travelled by him is 180 km. So, he travels first $\frac{180}{3}$ = 60 km with 15 km/hr, next 60 km with 10 km/hr and the last 60 km with 12 km/hr speed. The time taken for the first 60 km = $\frac{60}{15}$ = 4 hours The time taken for the next 60 km = $\frac{60}{10}$ = 6 hours The time taken for the last 60 km = $\frac{60}{12}$ = 5 hours So, the average speed = $\frac{\text{Total distance}}{\text{Total time}}$ = $\frac{180}{4+6+5}$ = $\frac{180}{15}$ = 12 km/hr Hence, the correct answer is 12 km/hr.
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Question : Find the average speed of a boy if he walks $\frac{1}{6}$th distance with a speed of 5 km/hr and rides a bike to cover the remaining distance at a speed of 25 km/hr. The total distance is 60 km.
Option 2: 20 km/hr
Option 3: 12 km/hr
Option 4: 13 km/hr
Question : While going to the office, Sneha travels at a speed of 10 km/hr and on her way back, she travels at a speed of 15 km/hr. What is her average speed for the whole journey?
Option 1: 14 km/hr
Option 2: 12 km/hr
Option 3: 11 km/hr
Question : A man covers half part of a certain distance at 60 km/hr. He covers 40% of the remaining distance at the speed of 12 km/hr and covers the rest of the distance at the speed of 18 km/hr. What is his average speed for the entire journey?
Option 1: 24 km/hr
Option 2: $\frac{58}{3}$ km/hr
Option 3: 36 km/hr
Option 4: 40 km/hr
Question : A man covers half part of a certain distance at 15 km/hr. He covers 40 percent of the remaining distance at the speed of 12 km/hr and covers the rest of the distance at the speed of 21 km/hr. What is his average speed for the entire journey?
Option 1: $\frac{140}{9}$ km/hr
Option 2: $15$ km/hr
Option 3: $\frac{164}{9}$ km/hr
Option 4: $\frac{139}{9}$ km/hr
Question : Dinesh makes four trips of equal distances. His speed on the first trip was 140 km/hr and in each subsequent trip, his speed was half of the previous trip. What is the average speed of Dinesh in these four trips?
Option 1: $40$ km/hr
Option 2: $44$ km/hr
Option 3: $\frac{112}{3}$ km/hr
Option 4: $\frac{124}{3}$ km/hr
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