time and distance Model Questions & Answers, Practice Test for ssc chsl tier 1 2023
ssc chsl tier 1 2023 SYLLABUS WISE SUBJECTS MCQs
Number System
Simplification
Powers Surds & Indices
Ratio Proportion & Partnership
Percentages
Profit & Loss
Time & Work
Time & Distance
Simple Interest & Compound Interest
Mensuration: Area & Volumes
A man rows upstream 16 km and downstream 28 km, taking 5 hours each time. The velocity of the current is ________ km/hr.
Answer: (a)
Upstream speed = ${16}/5$ km/hr
Downstream speed = ${28}/5$ km/hr
∴ Velocity of current = ${{{28}/5}-{{16}/5}}/2 = {12}/{10}$= 1.2 km/hr
A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?
Answer: (a)
Rate downstream
= $(16/2)$ kmph = 8 kmph;
Rate upstream
= $(16/4)$ kmph = 4 kmph.
∴ Speed in still water
= ${1/2}(8 + 4)$ = 6 km/h.
The driver of a car driving @ 36 kmph locates a bus 40 meters ahead of him. After 20 seconds the bus is 60 meters behind. The speed of the bus is :
Answer: (d)
Net distance gained by car over the bus
= 40 + 60 = 100m, in 20 sec.
$Time= \text"Distance"/\text"Relative speed"$
⇒$20=100/{(36×{5/18})-S_2}$
⇒$S_2$ = 5 m/s = 18 kmph.
The jogging track in a stadium as 726 m in circumference. Rakesh and Ismail start from the same point and walk in opposite direction at 4.5 kmph and 3.75 kmph respectively. They will meet for the first time in
Answer: (b)
Time= $14.5×5/18x+3.75×5/18×x=726$
1.25x + 1.04 x = 726
x = 317sec
= 5.28 min
A Train which travels at the uniform rate of 10 m a second leaves Madras for Arconum at 7 a.m. At what distance from Madras will it meet a train which leaves Arconum for Madras at 7.20 a.m., and travels one-third faster than the former does, the distance from Madras to Arconum being 68 km?
Answer: (b)
$S_1 = 10 × {18}/5$ = 36 km/hr
$S_2 = 36 + {36}/3$ = 48 km/hr
∴ Difference in time = $T_1 – T_2$ = 7 am – 7.20 am = -$1/3$ hr
∴ Distance of meeting point from madras
=36$[{68-48(-1/3)}/{36+48}] = 36[{68 + 16}/{36 + 48}]$ = 36km
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