Home » Aptitude » Speed, Time and Distance » Question
  1. A student goes to school at the
    rate of 2
    1
    km/hr and reaches 6 minutes late.
    2
    If he travels at the speed of 3 km/hr. he is 10 minutes early. What is the distance to the school?
    1. 4 km
    2. 3
      1
      km
      2
    3. 1 km
    4. 3
      1
      km
      4
Correct Option: A

Let the distance of school be x km.
Difference of time = 6 + 10

= 16 minutes =
16
hour
60

=
4
hour
15

Time =
Distance
Speed

∴ 
x
x
=
4
5/2315

⇒ 
2x
x
=
4
5315

⇒ 
6x − 5x
4
1515

⇒  x = 4 km.
Here, S1 = 2,
1
t1 = 6
2

S2 = 3, t2 = 10
Distance =
(S1 × S2)(t1 + t2)
S2 − S1

=
5
× 3(6 + 10)
2
3 -
5
2

= 15 ×
16
60

=
16
= 4 km
4


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