High Level Quant Questions (Based on Time, Speed & Distance) for Indian Bank, Syndicate Bank, IBPS SO

TOPICS:Bank MathsDistanceHigh Level Quant QuestionsSpeedTime

POSTED BY: Vidyasagar institute of banking JANUARY 14, 2017

1. Two people started simultaneously towards each other from Siliguri and Darjeeling, which are 60
km apart. They met 5 hours later. After their meeting, the first person, who travelled from Siliguri
to Darjeeling, decreased his speed by 1.5 km/h and the other person, who travelled from
Darjeeling to Siliguri, increased his speed by 1.5 km/h. The first person is known to arrive at
Darjeeling 2.5 hours earlier than the second person arrived at Siliguri. Find the initial speed of
the first person.
(a) 4.5 km/h
(b) 6 km/h
(c) 7.5 km/h
(d) 9 km/h

2. Two friends Arun and Nishit, on their last day in college, decided to meet after 20 years on a
river. Arun had to sail 42 km to the meeting place and Nishit had to sail per cent less. To
arrive at the meeting place at the same time as his friend Nishit, Arun started at the same time as
Nishit and sailed with the speed exceeding by 5 km/h the speed of Nishit. Find the speed of Arun.
(a) 10 kmph
(b) 14 km/h
(c) 9 kmph
(d) Both b and c

3. Three cars leave Patna for Ranchi after equal time intervals. They reach Ranchi simultaneously
and then leave for Vizag, which is 120 km from Ranchi. The first car arrives there an hour after
the second car, and the third car, having reached Vizag, immediately reverses the direction and 40
km from Vizag meets the first car. Find the speed of the first car.
(a) 30 km/h
(b) 19 km/h
(c) 32 km/h
(d) 22 km/h

4. Two sea trawlers left a sea port simultaneously in two mutually perpendicular directions. Half an
hour later, the shortest distance between them was 17 km, and another 15 min later, one sea
trawler was 10.5 km farther from the origin than the other. Find the speed of each sea trawler.
(a) 16 km/h, 30 km/h
(b) 18 km/h, 24 km/h
(c) 20 km/h, 22 km/h
(d) 18 km/h, 36 km/h

5. Shaurya and Arjit take a straight route to the same terminal point and travel with constant speeds.
At the initial moment, the positions of the two and the terminal point form an equilateral triangle.
When Arjit covered a distance of 80 km, the triangle becomes right- angled. 

When Arjit was at a
distance of 120 km from the terminal point, the Shaurya arrived at the point. Find the distance
between them at the initial moment assuming that there are integral distances throughout the
movements described.
(a) 300 km
(b) 240 km
(c) 200 km
(d) 225 km

6. Mrinalini and Neha travel to Connaught Place along two straight roads with constant speeds. At
the initial moment, the positions of Mrinalini, Neha, and Connaught Place form a right triangle.
After Mrinalini travelled 30 km, the triangle between the points became equilateral. Find the
distance between Mrinalini and Neha at the initial moment if at the time Mrinalini arrived at
Connaught Place, Neha had to cover 6.66 km to reach Connaught Place.
(a) 10 km
(b) 12 km
(c) 30 km
(d) None of these

7. Three cars started simultaneously from Ajmer to Benaras along the same highway. The second car
travelled with a speed that was 10 km/h higher than the first car’s speed and arrived at Benaras 1
hour earlier than the first car. The third car arrived at Benaras 33.33 minutes earlier than the first
car, travelling half the time at the speed of the first car and the other half at the speed of the second
car. Find the total distance covered by these three cars during their journey between Ajmer and
Benaras.
(a) 360 km
(b) 600 km
(c) 540 km
(d) 840 km

8. Three sprinters A, B, and C had to sprint from points P to Q and back again (starting in that order).
The time interval between the starting times of the three sprinters A, B and C was 5 seconds each.
Thus C started 10 seconds after A, while B started 5 seconds after A. 

The three sprinters passed a
certain point R, which is somewhere between P and Q, simultaneously (none of them having
reached point Q yet). Having reached Q and reversed the direction, the third sprinter met the
second one 9 m short of Q and met the first sprinter 15 m short of Q. Find the speed of the first
sprinter if the distance between PQ is equal to 55 m.
(a) 4 m/s
(b) 3 m/s
(c) 2 m/s
(d) 1 m/s

9. Two trains start from the same point simultaneously and in the same direction. The first train
travels at 40 km/h, and the speed of the second train is 25 per cent more than the speed of the first
train. Thirty minutes later, a third train starts from the same point and in the same direction. It
overtakes the second train 90 minutes later than it overtook the first train. What is the speed of the
third train?
(a) 20 km/h
(b) 40 km/h
(c) 60 km/h
(d) 80 km/h

10. A passenger train left town Alpha for town Beta. At the same time, a goods train left Beta for
Alpha. The speed of each train is constant throughout the whole trip. Two hours after the trains
met, they were 450 km apart. The passenger train arrived at the place of destination 16 hours after
their meeting and the goods train, 25 hours after the meeting. How long did it take the passenger
train to make the whole trip?
(a) 21 hours
(b) 28 hours
(c) 14 hours
(d) None of these

Answers:-
1. (c)
2. (b)
3. (a)
4. (a)
5. (b)

6. (d)
7. (b)
8. (d)
9. (c)
10. (d)