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  1. A man cycles at the speed of 8 km/hr and reaches office at 11 am and when he cycles at the speed of 12 km/hr he reaches office at 9 am. At what speed should he cycle so that he reaches his office at 10 am?
    1. 9.6 kmph.
    2. 10 kmph.
    3. 11.2 kmph.
    4. Cannot be determined
Correct Option: A

Distance of the office = x km.
Difference of time = 2 hours

∴ 
x
x
= 2
812

3x − 2x
= 2
24

x
= 2 ⇒ x = 48 km.
24

∴  Time taken at the speed of 8 kmph
=
48
= 6 hours
8

∴  Required time to reach the
office at 10 a.m. i.e., in 5 hours
=
48
kmph
5

= 9.6 kmph



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