Question : A cyclist, after cycling a distance of 70 km on the second day, finds that the ratio of distance covered by him on the first two days is 4 : 5. If he travels a distance of 42 km on the third day, then the ratio of distance travelled on the third day and the first day is:
Option 1: 4 : 3
Option 2: 3 : 2
Option 3: 3 : 4
Option 4: 2 : 3
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Correct Answer: 3 : 4
Solution : Let $x$ km be the distance travelled on the first day. Distance travelled on the second day = 70 km The ratio of distances covered by him on the first two days is 4 : 5. $⇒\frac{x}{70}=\frac{4}{5}$ $\therefore x=\frac{4}{5}×70$ = 56 km If he travels a distance of 42 km on the third day, then the ratio of distance travelled on the third day and the first day would be 42 : 56 = 3 : 4 Hence, the correct answer is 3 : 4.
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Question : A man travelled a distance of 110 km in 11 hours. He travelled some distance on foot at 6 km/hr and the remaining distance on a bicycle at 14 km/hr. What is the distance travelled on a bicycle?
Option 1: 66 km
Option 2: 99 km
Option 3: 77 km
Option 4: 88 km
Question : A man travelled a distance of 150 km in 18 hours. He travelled partly on foot at 5 km/hr and partly on bicycle at 10 km/hr. What is the distance travelled on a bicycle?
Option 1: 120 km
Option 2: 30 km
Option 3: 100 km
Option 4: 70 km
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
Question : A train travels for 2 hours at a speed of 6 m/s. What is the distance covered by the train in the mentioned duration of time?
Option 1: 40.8 km
Option 2: 36.4 km
Option 3: 46.6 km
Option 4: 43.2 km
Question : Walking at the rate of 4 km/hr, a man covers a certain distance in 3 hours 45 minutes. If he covers the same distance on a cycle, cycling at the rate of 16.5 km/hr, the time taken by him is:
Option 1: 55.45 minutes
Option 2: 54.55 minutes
Option 3: 55.44 minutes
Option 4: 45.55 minutes
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