1. If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. What is the actual distance travelled by him?
1. 80 km
2. 70 km
3. 60 km
4. 50 km
Answer & Explanation Answer:- 4 Explanation :- Let the distance covered with speed 10km = x km 2. The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, What is the the speed of the first train? Answer & Explanation Answer:- 2 Explanation :- Speed of the second train = 400/4 = 100 km/h 3. It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. What is the ratio of the speed of the train to that of the car? Answer & Explanation Answer:- 1 Explanation :- Let the speed of the train = x km/h & Speed of the car = y km/h 4. Arun is traveling on his cycle and has calculated to reach point A at 2 pm if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 pm? Answer & Explanation Answer:- 3 Explanation :- Let the distance covered = x km 5. A car travels at an average of 50 miles per hour for 2 1/2 hours and then travels at a speed of 70 miles per hour for 1 1/2 hours. How far did the car travel in the entire 4 hours? Answer & Explanation Answer:- 2 Explanation :- 1st Speed = 50 miles/hour
Therefore , the distance covered with speed 14km = x + 20 km
Time = Distance / Speed
(x + 20)/14 = x/10 => (x + 20)/7 = x/5
5x + 100 = 7x
x = 50
1. 85 km/hr
2. 87.5 km/hr
3. 90 km/hr
4. 92.5 km/hr
Speed of the First train = (100/8)*7 = 87.5 km/h
1. 3 : 4
2. 2 : 3
3. 1 : 2
4. 1 : 3
It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car.
120/x + 480/y = 8 => 1/x + 4/y = 1/15
If 200 km is done by train and the rest by car, then 20 minutes more time is taken.
200/x + 400/y = (8 + 20/60)
200/x + 400/y = 25/3 => 1/x + 2/y = 1/24
Solving both the equations,
x = 60 and y = 80
x : y = 60:80 = 3:4
1. 8 kmph
2. 10 kmph
3. 12 kmph
4. 14 kmph
Time = Distance/Speed
(x/10) – (x/15) = 2
(3x – 2x)/ 30 = 2
(3x – 2x) = 60
x = 60 km
Time taken to cover 60 km at 10 km/hr = 60 /10 = 6 hrs
So 2 P.M. – 6 = 8 A.M starts at 8 A.M.
He starts at 8 A.M.
He have to reach at 1 P.M. i.e, in 5 hours
So, Speed = 60/5 = 12 km/hr
1. 210 miles
2. 230 miles
3. 250 miles
4. 260 miles
Time taken with speed 50 miles/hr = 2 + (1/2) hour = 5/2 hour
Distance Covered with 50miles/hr in 5/2 hrs = speed * time = 50 × (5/2) = 25 × 5 = 125 miles
2nd Speed = 70 miles/hour
Time taken with speed 70 miles/hr = 1 + 1/2 hour = 3/2 hour
Distance Covered with 70miles/hr in 3/2 hrs = 70 × (3/2) = 35 × 3 = 105 miles
Total Distance = 125 + 105 = 230 miles