 # Time & Distance (15)

1. The speed of a bus increases by 2 km after every one hour. If the distance travelling in the first one hour was 35 km. what was the total distance travelled in 12 hours?
1. 422 km
2. 552 km
3. 502 km
4. 492 km

Explanation :-

Common difference (d) = 2
No. of term = 12    &    First term (a) = 35.
12th term = a + 11d = 35 + 2*11 = 37.
Sum = (No.of terms /2) * (first term + last term)
Sum = (12 /2) *(35 + 57) = 552.
Total distance traveled = 552 Km.

2. Sound is said to travel in air at about 1100 feet per second. A man hears the axe striking the tree, 11/5 seconds after he sees it strike the tree. How far is the man from the wood chopper?
1. 1800 ft
2. 2810 ft
3. 3020 ft
4. 2420 ft

Explanation :-

speed of sound = 1100  ft/s
time = 11/5 second
Distance = Speed * Time
Distance = 1100 * 11/5 = 220 * 11 = 2420

3. An athlete runs 200 metres race in 24 seconds. What is his speed?
1. 20 km/hr
2. 25 km/hr
3. 27.5 km/hr
4. 30 km/hr

Explanation :-

Speed = Distance / Time
Speed = 200/24 m/s = (200/24) * (18/5) = 30 km/h

4. A train is moving at the speed of 80 km/hr. What is its speed in metres per second?
1. 22 2/9 m/s
2. 22 m/s
3. 21 1/9 m/sec
4. 21 m/s

Explanation :-

Speed = 80 km/hr = 80* (5/18) m/s = 200/9 m/s = 22 2/9 m/s

5. The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 Km/hr. At what time will they meet?
1. 10.30 a.m.
2. 10 a.m.
3. 12 noon
4. 11 a.m.