time and distance Model Questions & Answers, Practice Test for ssc mts paper 1 2023

Question :6

A train is running at the rate of 40 kmph. A man is also going in the same direction parallel to the train at the speed of 25 kmph. If the train crosses the man in 48 seconds, the length of the train is _______ metres.

Answer: (b)

Length of the train = Relative speed × time

= (40 - 25) ${5/18} × 48 = {15 × 5 × 48}/18$ = 200m

Question :7

A monkey ascends a greased pole 12 meters high. He ascends 2 meters in the first minute and slips down 1 meter in the next minute and so on . In which minute does it he reaches the top?

Answer: (c)

In 2 minutes, he ascends = 1 metre

∴ 10 metres, he ascends in 20 minutes.

∴He reaches the top in 21st minute.

Question :8

A train 120 metres in length passes a pole in 4 seconds and another train of length 210 metres travelling in the same direction in 15 seconds. What is the speed of the second train?

Answer: (c)

Speed of first train = ${120}/4 = 30ms^{-1}$

Total length when it passed another train = 120 + 210 = 330m

∴ Relative speed = ${330}/{15} = 22ms^{-1}$

∴ Speed of second train = 30 – 22 = 8$ms^{–1}$

Question :9

A man travels three-fifths of a distance AB at a speed of 3a and remaining at the speed of 2b. If he goes from B to A and back at a speed of 5c in the same time then

Answer: (c)

Let distance AB = x units

Let $3/5$ x distance is covered in $t_1$ time and $2/5$ x distance is covered in $t_2$ time

∴ $3a={3/5x}/t_1⇒t_1=x/5a$ ...(1)

and $2b={2/5x}/t_2⇒t_2=x/5b$ ...(2)

Total time taken in going from B to A and back at speed of 5c

t=${2x}/{5c}$

Now, t=$t_1+t_2$

∴ ${2x}/{5c}=x/{5a}+x/{5b}$

⇒$2/c=x/a+x/b$

Question :10

R and S start walking towards each other at 10 AM at the speeds of 3 km/h and 4 km/h respectively. They were initially 17.5 km apart. At what time do they meet?

Answer: (d)

Let them meet after t hours, then,

3t + 4t = 17.5⇒t = 2.5

∴Time = 10 am + 2.5 h = 12 : 30pm

ssc mts paper 1 2023 IMPORTANT QUESTION AND ANSWERS

Recently Added Subject & Categories For All Competitive Exams

100+ Quadratic Equation Questions Answers PDF for Bank

Quadratic Equation multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams

03-Jul-2024 by Careericons

Continue Reading »

IBPS Aptitude Linear Equations MCQ Questions Answers PDF

Linear equations multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams

03-Jul-2024 by Careericons

Continue Reading »

New 100+ Compound Interest MCQ with Answers PDF for IBPS

Compound Interest verbal ability questions and answers solutions with PDF for IBPS RRB PO. Aptitude Objective MCQ Practice Exercises all competitive exams

02-Jul-2024 by Careericons

Continue Reading »

100+ Mixture and Alligation MCQ Questions PDF for IBPS

Most importantly Mixture and Alligation multiple choice questions and answers with PDF for IBPS RRB PO. Aptitude MCQ Practice Exercises all Bank Exams

02-Jul-2024 by Careericons

Continue Reading »