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Question 1 of 5
1. Question
If sum of upstream and downstream speed of a boat is 82 kmph, and the boat travels 105 km. upstream in 3 hr, Find the time taken by boat to cover 141 km downstream.
Correct
Answer: A
Explanation:
Speed of Upstream =u-v
Speed of Downstream = u+v
u-v+u+v=82
2u=82
u=41km/hr.
41 – v = 105/3 = 35
v = 6 km/hr
then,
u + v= 141/t
41 + 6 = 141/t
t = 141/47 = 3 hrs.Incorrect
Answer: A
Explanation:
Speed of Upstream =u-v
Speed of Downstream = u+v
u-v+u+v=82
2u=82
u=41km/hr.
41 – v = 105/3 = 35
v = 6 km/hr
then,
u + v= 141/t
41 + 6 = 141/t
t = 141/47 = 3 hrs. -
Question 2 of 5
2. Question
‘L’ meters of long train cross a 480 m long tunnel in 40 sec running at the speed of 108 kmph. If train cross a man running in opposite direction in 8 sec, find speed of man (in km/hour).
Correct
Answer: D
Explanation:speed of train=108*5/18=30 sec
ATQ, L+480/40=30 sec
L=1200-480=720
let, the speed of man=’x’ sec
720/30+x=12
x=30m/sec
sped of main =30*18/5=108 km/hrIncorrect
Answer: D
Explanation:speed of train=108*5/18=30 sec
ATQ, L+480/40=30 sec
L=1200-480=720
let, the speed of man=’x’ sec
720/30+x=12
x=30m/sec
sped of main =30*18/5=108 km/hr -
Question 3 of 5
3. Question
A train can cross a tunnel of length 360m in 15sec, while a pole in 3 sec. In what time the train can cross a platform of length of 210 m.
Correct
Answer: B
Explanation:let length of train be x meters
(x+360)/15=x/3
15x=3x+1080
x=90 meters
speed of train=90+360/15=450/15=30 m/sec
required time=90+210/30=10 secIncorrect
Answer: B
Explanation:let length of train be x meters
(x+360)/15=x/3
15x=3x+1080
x=90 meters
speed of train=90+360/15=450/15=30 m/sec
required time=90+210/30=10 sec -
Question 4 of 5
4. Question
Shivani can row a boat at 10 kmph in still water. If the speed of the stream is 6 kmph, the time taken to row a distance of 80 km down the stream is ?
Correct
Answer: C
Explanation:Speed in still water, ½ (a+b) = 10 km/hr
a+b = 20 km/hr…………….(1)
speed of the stream, ½ (x-y) = 6km/hr
x-y = 12 km/hr …………….(2)
(1)+(2 ) we get 2x = 32
x= 16 km/hr
speed downstream =distance traveled / time taken
time taken = 80/16 = 5 hoursIncorrect
Answer: C
Explanation:Speed in still water, ½ (a+b) = 10 km/hr
a+b = 20 km/hr…………….(1)
speed of the stream, ½ (x-y) = 6km/hr
x-y = 12 km/hr …………….(2)
(1)+(2 ) we get 2x = 32
x= 16 km/hr
speed downstream =distance traveled / time taken
time taken = 80/16 = 5 hours -
Question 5 of 5
5. Question
Srikant can row 9 (1/3) kmph in still water and finds that it takes him thrice as much time to row up than as to row down the same distance in the river. What is speed of current ?
Correct
Answer: A
Explanation:Speed in still water = 9 (1/3) = 28/3 km/hr
i.e, ½ (x+y) = 28/3 km/hr
=½ (x+3x) = 28/3
2x = 28/3 = x = 28/ 2 x 3 = 14/3 km/hr
rate upstream = 14/3 km/hr and
rate downstream = 14/3 x 3 = 14 km/hr
speed of the current = ½ (x-x) = ½ (14 – 14/3)
= ½ (42-14/3) = 28/6 = 4 (2/3) km/hrIncorrect
Answer: A
Explanation:Speed in still water = 9 (1/3) = 28/3 km/hr
i.e, ½ (x+y) = 28/3 km/hr
=½ (x+3x) = 28/3
2x = 28/3 = x = 28/ 2 x 3 = 14/3 km/hr
rate upstream = 14/3 km/hr and
rate downstream = 14/3 x 3 = 14 km/hr
speed of the current = ½ (x-x) = ½ (14 – 14/3)
= ½ (42-14/3) = 28/6 = 4 (2/3) km/hr
