A train travelling at a speed of 75 mph enters a tunnel 3� miles long. The train

CuriousTab

Question
A train travelling at a speed of 75 mph enters a tunnel 3½ miles long. The train is ¼ mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
Options
A. 2.5 min
B. 3 min
C. 3.2 min
D. 3.5 min

Correct Answer

3 min

Explanation

Total distance covered

=	❨	7	+	1	❩	miles
		2		4

=	15	miles.
	4

∴ Time taken

=	❨	15	❩	hrs
		4 x 75

=	1	hrs
	20

=	❨	1	x 60	❩	min.
		20

= 3 min.

1. A bag contains 25 paise, 50 paise and 1 Rs coins. There are 220 coinsinall and the total amount in the bag is Rs. 160. If there arethrice as many 1 Rs. coins as there are 25 paise coins, then what is the number of 50 paise coins?
Options
A. 60
B. 40
C. 120
D. 80

Correct Answer: 60

Explanation:

Let there be x one rupee coin, y 50 paise coin, z 25 paise coinx + y + z = 220......(i)

Total amount = 160

Now, x + (y/2) + z = 160 ......(ii)

?4x + 2y + z = 640

Thrice as many 1 re coin as 25 paise

?x = 3z ......(iii)

On solving equation (i), (ii) and (iii), we get

z = 40x= 3* 40 = 120y = 220 ?(120 + 40 ) = 60

So, 50 paise coin =60