Time and Distance with Explanation

Q1. Rohan is running at a speed of 6 km/hr crosses a flyover in 18 minutes. What is the length of the flyover (in meters)?

Answer- Option A

Explanation-

Rohan's speed = 6 km/hr = 6x

5 18

m/sec =

5 3

m/sec

Length of the flyover =

5 3

x18x60 = 1800 m

Q2. Ankita left for Delhi from Jaipur at 6 AM. For 2 hours, she traveled at the rate of 80 km/hr. After that, she reduced her speed to 60 km/hr. If the distance between two cities is 400 km, find the time when Ankita will reach Delhi?

Answer- Option C

Explanation-

Distance covered in 2 hours = 80 x 2 = 160 km
Time taken to cover the remaining distance =

(400 - 160) 60

=

240 60

hrs = 4 hrs

Total time taken = 2 + 4 = 6 hrs
Ankita will reach Delhi at 12:00 P.M.

Q3. In one minute, a bike travels a distance of 550 meters whereas a car travels a distance of 33 km in 45 minutes. What is the ratio of their speed?

Answer- Option B

Explanation-

Ratio of speeds =

550 60

x

18 5

:

33 45

x60

= 33 : 44 = 3 : 4

Q4. Simran runs around a circular field at a rate of 6 rounds per hour whereas Anita walks around the same field at the rate of 1 round per hour. If both started in the same direction from the same point at 7:30 AM then at what time they will first cross each other?

Answer- Option D

Explanation-

Relative speed of Simran w.r.t Anita = 6 - 1 = 5 rounds per hour
Time taken to complete one round at this speed =

1 5

= 12 min

Q5. What is the time taken by a man to run around a rectangular field of dimension 33 meters by 37 meters, if he runs at the speed of 6 km/hr?

Answer- Option A

Explanation-

Speed = 6 km/hr = 6x

5 18

m/sec = 2.5 m/sec

Distance = 2x(33 + 37) = 140 m
Time taken =

140 2.5

= 56sec

Q6. A worker covered a distance of 61 km in 9 hours. He traveled partly on public transport at 4 km/hr and partly on auto at 9 km/hr. What is the distance traveled on public transport?

Answer- Option C

Explanation-

Let the distance travelled on public transport be x km
Then, distance travelled on auto = (61 - x) km
So,

x 4

+

(61 - x) 9

= 9

9x + 4(61 - x) = 9
x = 16 km

Q7. In the air, sound moves at a rate of 1100 feet per second. A boy hears the temple's bell sound 2.2 seconds after he sees it ringing. Find the distance of the man from the temple?