Speed, Time and Distance - Question A Day - CAT 2008
September 05, 2002 � A ship develops a leak 12 km from the shore.
Despite the leak, the ship is able to move towards the shore at a speed of 8
km/hr. However, the ship can stay afloat only for 20 minutes. If a rescue vessel
were to leave from the shore towards the ship, and it takes 4 minutes to
evacuate the crew and passengers of the ship, what should be the minimum speed
of the rescue vessel in order to be able to successfully rescue the people
aboard the ship?
Solution �
September 09, 2002 � A man driving his bike at 24 kmph reaches his
office 5 minutes late. Had he driven 25% faster on an average he would have
reached 4 minutes earli class="text"er than the scheduled time. How far is his office?
Solution �
September 23, 2002 � When an object is dropped, the number of feet N
that it falls is given by the formula N = �gt2 where t is the time in
seconds from the time it was dropped and g is 32.2. If it takes 5 seconds for
the object to reach the ground, how many feet does it fall during the last 2
seconds?
Solution �
September 30, 2002 � If the wheel of a bicycle makes 560 revolutions in
travelli class="text"ng 1.1 km, what is its radius?
Solution �
October 8, 2002 � Rajesh traveled from city A to city B covering as much
distance in the second part as he did in the first part of this journey. His
speed during the second part was twice as that of the speed during the first
part of the journey. What is his average speed of journey during the entire
travel?
Solution �
February 24, 2003 � Two boys begin together to write out a booklet
containing 535 li class="text"nes. The first boy starts with the first li class="text"ne, writing at the
rate of 100 li class="text"nes an hour; and the second starts with the last li class="text"ne then writes
li class="text"ne 534 and so on, backward proceeding at the rate of 50 li class="text"nes an hour. At what
li class="text"ne will they meet?
Solution �
Arpil 08, 2003 � A man and a woman 81 miles apart from each other, start
travelli class="text"ng towrds each other at the same time. If the man covers 5 miles per
hour to the women's 4 miles per hour, how far will the woman have travelled when
they meet?
Solution �
Arpil 22, 2003 � The speed of a motor boat itself is 20 km/h and the
rate of flow of the river is 4 km/h. Moving with the stream the boat went 120
km. What distance will the boat cover during the same time going against the
stream?
Solution �
Arpil 28, 2003 � Two friends A and B run around a circular track of
length 510 metres, starting from the same point, simultaneously and in the same
direction. A who runs faster laps B in the middle of the 5th round.
If A and B were to run a 3 km race long race, how much start, in terms of
distance, should A give B so that they finish the race in a dead heat?
Solution �
May 19, 2003 � A passenger train covers the distance between stations X
and Y, 50 minutes faster than a goods train. Find this distance if the average
speed of the passenger train is 60 kmph and that of goods train is 20 kmph.
Solution �
June 5, 2003 � I travel the first part of my journey at 40 kmph and the
second part at 60 kmph and cover the total distance of 240 km to my destination
in 5 hours. How long did the first part of my journey last?
Solution �
June 18, 2003 � By walking at 3/4th of his usual speed, a man
reaches office 20 minutes later than usual. What is his usual time?
Solution �
July 8, 2003 � Three friends A, B and C run around a circular track of
length 120 metres at speeds of 5 m/s, 7 m/sec and 15 m/sec, starting
simultaneously from the same point and in the same direction. How often will the
three of them meet?
Solution �
August 22, 2003 � Yana and Gupta leave points x and y towards y and x
respectively simultaneously and travel in the same route. After meeting each
other on the way, Yana takes 4 hours to reach her destination, while Gupta takes
9 hours to reach his destination. If the speed of Yana is 48 km/hr, what is the
speed of Gupta?
Solution �
October 07, 2003 � Ram covers a part of the journey at 20 kmph and the
balance at 70 kmph taking total of 8 hours to cover the distance of 400 km. How
many hours has been driving at 20 kmph?
Solution �
November 15, 2003 � A man can row 50 km upstream and 72 km downstream in
9 hours. He can also row 70 km upstream and 90 km downstream in 12 hours. Find
the rate of current.
Solution �
February 24, 2004 � Jim travels the first 3 hours of his journey at 60
mph speed and the remaining 5 hours at 24 mph speed What is the average speed of
Jim's travel in mph?
Solution �
April 07, 2004 � A train traveli class="text"ng at 100 kmph overtakes a motorbike
traveli class="text"ng at 64 kmph in 40 seconds. What is the length of the train in meters?
Solution �
May 04, 2004 � A train traveli class="text"ng at 72 kmph crosses a platform in 30
seconds and a man standing on the platform in 18 seconds. What is the length of
the platform in meters?
Solution �
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