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Question 14 Marks
Rajan is travelling from his home to a town 240 km away. For the first quarter of the journey, he takes a bus that travels 100 km in 2.5 hours. For the remaining journey, he takes a cab that covers 252 km in 3.5 hours.
Q.1. The speed of the bus in $km / hr$ is :
(a) 36$\quad$(b) 40$\quad$(c) 32$\quad$(d) 48
Q.2. The speed of the cab in $km / hr$ is :
(a) 72$\quad$(b) 64$\quad$(c) 56$\quad$(d) 75
Q.3. The total time taken by Rajan to reach his destination is:
(a) $3 \frac{1}{2} hrs$.$\quad$(b) 4 hrs.$\quad$(c) $4 \frac{1}{2} hrs$.$\quad$(d) 5 hrs.
Q.4. The average speed of Rajan for the complete journey in $km / hr$ is :
(a) 54$\quad$(b) 56$\quad$(c) 60$\quad$(d) 48
Answer
1. (B) 40,$\qquad$2. (A) 72,$\qquad$3. (B) 4 hrs,$\qquad$4. (C) 60
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Question 24 Marks
Two stations X and Y are 760 km apart. Two trains A and B start at the same time from X and Y respectively and move towards each other. It is known that A takes 5 hours to travel 620 km, while B covers 810 km in 4.5 hours.
Q.1. The speed of the train A in km/hr is :
(a) 124$\quad$(b) 120$\quad$(c) 132$\quad$(d) 125
Q.2. The speed of the train B in km/hr is :
(a) 124$\quad$(b) 136$\quad$(c) 160$\quad$(d) 180
Q.3. The distance of the point where the two trains meet, from station X, is :
(a) 450 km$\quad$(b) 360 km$\quad$(c) 310 km$\quad$(d) 380 km
Q.4. The time after which the two trains meet, is:
(a) 3 hrs$\quad$(b) 2 hrs 30 min.$\quad$(c) 2 hrs 36 min.$\quad$(d) 2 hrs 40 min.
Answer
1. (A) 124,$\qquad$2. (D) 180,$\qquad$3. (C) 310 km,$\qquad$4. (B) 2 hrs 30 min
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[4 marks sum] - MATHS STD 6 Questions - Vidyadip