# Quantitative Aptitude: Time, Speed and Distance Set 12

Time Speed Distance Questions for SBI PO, IBPS PO, RRB, NIACL, LIC, BOI, Bank of Baroda and other competitive exams

1. Hemant covers a certain distance with his own speed , but when he reduces his speed by 10 km/hr his time duration for the journey increases by 40 hrs, while if he increases his speed by 5km/hr from his original speed he takes 10hrs less than the original time taken . Find the distance covered by him.
A) 1200km
B) 1500km
C) 1350km
D) 1400km
E) None
Option B
Solution:

Let distance be x km and speed be y km/hr
x/(y-10)-x/y=40==> x=4y(y-10)   ——(1)
x/y-x/(y+5)=10==>x=2y(y+5)     ——-(2)
Equate 1 and 2
4y(y-10)=2y(y+5)
2y-20=y+5==>y=25km/hr
Then x=2*25(25+5)=50*30=1500km
2. A train met with an accident 60km away from station A. It completed the remaining journey at 5/6th of the original speed and reached station B 1hr 12mins late. Had the accident taken place 60km further, it would have been only 1hr late. what was the original speed of the train?
A) 50km/hr
B) 45km/hr
C) 60km/hr
D) 55km/hr
E) None
Option C
Solution:

Let the original speed be 6x.
Travelling 60km at 5/6th of original speed cost 12 mins etc.
60/5x = 60/6x +12/60
==>x=10
Original speed 6x=60km/hr.
3. Two man start together to walk a certain distance, one at 4 km/hr and another at 5 km/hr. The former arrives half an hour before the latter. Find the distance.
A) 10km
B) 15km
C) 20km
D) 8km
E) None
Option A
Solution:

If the distance be x km, then
x/4-x/5=1/2
(5x-4x)/20=1/2
x/20=1/2==>x=10km
4. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:
A) 2hrs
B) 1hr 30min
C) 2hrs 15min
D) 1hr
E) None
Option D
Solution:

Let the duration of the flight be x hrs.
Then, 600/x-600/(x+1/2)=200
600/x-1200/2x+1=200
X(2x+1)=3
2x2+x-3=0
X=1hr.
5. Two racers start running towards each other, one from A to B and another from B to A. They cross each other after one hour and the first racer reaches B, 5/6 hour before the second racer reaches A. If the distance between A and B is 50 km. what is the speed of the slower racer?
A) 15km/hr
B) 20km/hr
C) 25km/hr
D) 30km/hr
E) None
Option B
Solution:

Let second racer takes x hr with speed s2
First racer takes x-5/6 hr with speed s1
Total distance = 50km
S1 = 50/(x-(5/6))
S2= 50/x
As they cross each other in 1hr…
Total speed = s1 + s2
Now, T = D / S
50/(s1+s2) = 1
x = 5/2, 1/3
Put x= 5/2 in s2 –> 20km/hr
6. P and Q run at the speed 40m/s and 20m/s resp on the circular track of 800m, as its circumference , when would the P and Q meet for the first time at the starting point if they start simultaneously from the same point.
A) 40sec
B) 50sec
C) 55sec
D) 60sec
E) None
Option A
Solution:

Time taken by P to complete one round
800/40=20
Time taken by Q to complete one round
800/20=40
LCM of 20 40=40
Every 40sec they would be together at the starting point.
7. The speeds of Ram and Raj are 30 km/h and 40 km/h. Initially Raj is at a place L and Ram is at a place M. The distance between L and M is 650 km. Ram started his journey 3 hours earlier than Raj to meet each other. If they meet each other at a place P somewhere between L and M, then the distance between P and M is?
A) 225km
B) 300km
C) 250km
D) 330km
E) None
Option D
Solution:

If the 1st 3hr Ram covers 90km
So the rest 650-90=560km
Now they both travel together towards each other
So, the time is 560/70=8hr
Then ram travel total 3+8=11hrs
Thus the distance travelled by Ram 11*30=330km
8. The ratio between the speed of a car and a bike is 16 : 15 respectively. Also, a bus covered a distance of 480 km in 8 hrs. The speed of the bus is three-fourth the speed of the car. How much distance will the bike cover in 6 h?
A) 320km
B) 360km
C) 450km
D) 435km
E) None
Option C
Solution:

Speed of bus = 480/8 = 60km/ h
Speed of car = (60*4)/3=80 km / h
Speed of car : Speed of bike = 16 : 15
Speed of bike =80/16 * 15 = 75 km/ h
Distance covered by bike in 6 hr = 75 × 6 = 450 km
9. How many seconds will a train 50 m in length, travelling at the rate of 42 km an hour, rate to pass another train 80 m long, proceeding in the same direction at the rate of 30 km an hour?
A) 45sec
B) 39sec
C) 50sec
D) 55sec
E) None
Option B
Solution:

Relative speed =42-30=12km/hr
Time= (50+80)*18/12*5
=130*18/12*5==>13*3
=39sec.
10. A man rides his bike 20 km at an average speed of 8 km/hr and again travels 45 km at an average speed of 10 km/hr. What is his average speed for the ride approximately?
A) 10.8km/hr
B) 8.5km/hr
C) 9.3km/hr
D) 10.2km/hr
E) None
Option C
Solution:

Average speed=total distance/total time
Total time=20/8 + 45/10
Avg speed=(20+45)/(20/8 + 45/10)
= 65/((200+360)/80)
=65*80/560 = 65/7
=9.3km/hr

## 8 Thoughts to “Quantitative Aptitude: Time, Speed and Distance Set 12”

1. K.K

Sir/Mam please post more DI ques quiz

2. TR!D!P

thnku az..

3. Barish!!

thanku mam

4. C®u\$h the Competition

Q2 is not clear… It is written that after accident it reduces the speed 5/6 of original speed then in condn 2. It must reduces it’s speed after second accident but soln has taken reduced speed to calculate time ie 60/5x. While it should b 60/6x. If I wrong correct me.

1. Premashanthi

Its diff is 12 mins then (1st condition )60/5x – 60/6x(2nd condition)=12/60
–>60/5x=60/6x+12/60 ==>x=10

1. C®u\$h the Competition

Ok

5. the walking dead

7-10:)

1. akshita

Mail kr dijiega..walking dead sir..good luck