time and distance Model Questions & Answers, Practice Test for ssc cgl tier 1 2023
ssc cgl tier 1 2023 SYLLABUS WISE SUBJECTS MCQs
Number System
Ratio Proportion & Partnership
Averages
Percentages
Profit & Loss
Time & Work
Time & Distance
A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at the rate of 4 km/hr and partly on bicycle at rate of 9 km/hr. The distance travelled on foot is
Answer: (d)
Let distance travelled on foot = x km
∴ $x/4+{61x}/9=9$
9x+2444x=324
5x=80
x=16km
∴ Distance travelled on foot = 16 km
A train takes 5 seconds to pass an electric pole. If the length of the train is 120 metres, the time taken by it to cross a railway platform 180 metres long is _______ seconds.
Answer: (c)
Speed of the train = ${120}/5$ = 24 m/s
∴ time taken by the train to pass the platform
= ${120 + 180}/{24}$ = 12.5 seconds
A train running between two stations A and B arrives at its destination 10 minutes late when its speed is 50 km/h and 50 minutes late when its speed is 30km/h. What is the distance between the stations A and B ?
Answer: (a)
Let the distance between the two stations be x km.
Then, $x/5010/60=x/3050/60$
⇒ $x/501/6=x/305/6$
or $x/30x/50=2/3$ or x = 50km
Thus distance between the station A and B = 50 km
The speed of a car increases by 2 kilometer after every one hour. If the distance travelled in the first one hour was 35 kilometers, then the total distance travelled in 12 hours was
Answer: (a)
Distance travelled per H = 35,37, 39
$S_n=n/2{[2a+(n1)d]}$
n=12, a=35, d=2
=$12/2{[2×35+(121)×2]}$
=6[70+22]
=6×92=552km.
The current of a stream runs at the rate of 4 km an hour. A boat goes 6 km back to the starting point in 2 hours. The speed of the boat in still water is ________ km/hr.
Answer: (b)
Let the speed of boat in still water = x km/hr
Speed of current = 4 km/hr.
Speed upstream = (x – 4) km/hr
Speed downstream = (x + 4) km/hr
Now, $6/{x  4} + 6/{x + 4}$ = 2
or, ${6(x + 4)(x  4)}/{x^2  16}$ = 2
$2x^2  32 = 6x + 6x$
or, $x^2$ – 6x – 16 = 0
or, (x – 8) (x + 2) = 0
∴ x = 8 or – 2.
We reject the negative value.
∴ Speed of boat in still water = 8 km/hr
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