Home » Aptitude » Speed, Time and Distance » Question
  1. Sarthak completed a marathon in 4 hours and 35 minutes. The marathon consisted of a 10 km run followed by 20 km cycle ride and the remaining distance again a run. He ran the first stage at 6 km/hr and then cycled at 16 km/hr. How much distance did Sarthak cover in total, if his speed in the last run was just half that of his first run?
    1. 5 km.
    2. 35 km.
    3. 40 km.
    4. 45 km.
Correct Option: B

Let the total distance be x km.

Time =
Distance
Speed

According to the question,
10
+
20
+
x − 30
= 4
35
616360

= 4
7
12

⇒  
5
+
5
+
x
− 10 =
55
34312

⇒  
x
+
5
+
5
− 10 =
55
33412

⇒ 
x
+
20 + 15 − 120
=
55
31212

⇒ 
x
85
=
55
31212

⇒ 
x
=
85
+
55
=
140
3121212

⇒ x =
140
× 3 = 35 km.
12


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