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Trains Boats and Streams Practice Test 4 with solutions
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© examsnet.com
Question : 9
Total: 40
The Delhi Express covers a distance of 2,000 km at a constant speed. If the speed of the train is increased by 50 km an hour, the journey would have taken 2 hour less. What is the original speed of the train?
200 km/hour
225 km/hour
250 km/hour
280 km/hour
None of these
Validate
Solution:
Let the original speed of Delhi Express = x km/hour
Time taken to cover 2,000 km =
2000
x
New speed = x + 50
New time =
2000
x
+
50
According to the question,
2000
x
+
50
=
2000
x
−
2
2000
x
+
50
=
2000
−
2
x
x
2,000x = 2,000x + 1,00,000 -
2
x
2
- 100x
2
x
2
+ 100x + 1,00,000 = 0
x
2
+ 50x + 50,000 = 0
x
2
+ 250x - 200x + 50,000 = 0
(x + 250) (x - 200) = 0
x = 200 km/hour
© examsnet.com
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