SBI CLERK 2018 Quantitative Aptitude Quiz No- 4 “Speed Time & Distance”
On this quiz no 03 you will practice Speed Time & Distance Questions for bank exams like SBI Clerk Pre 2018, IBPS Clerk Pre, IBPS RRB 2018 and other 2018 banking exams with detailed Solution, all types of questions with tricky solution at free of cost
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
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
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
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
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
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
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
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
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
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
Solution
1.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.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.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.View Answer
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
2×2+x-3=0
X=1hr.
5.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.View Answer
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.View Answer
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.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.View Answer
Option B
Solution:
Relative speed =42-30=12km/hr
Time= (50+80)*18/12*5
=130*18/12*5==>13*3
=39sec.
10.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
