Discussion
Rohit has to reach Mumbai which is 500 km away in 10 hours. His starting speed for 3 hours was 60 km/hr. For the next 200 km his speed was 50km/hr. By what speed he must travel now so as to reach Mumbai in decided time of 10 hours?
Answer: A
Account for the distance and time already used, then divide what is left.
\[ \text{first stage} = 60 \times 3 = 180 \text{ km in } 3 \text{ h} \]
\[ \text{second stage} = 200 \text{ km at } 50 \text{ km/hr} = 4 \text{ h} \]
\[ \text{covered} = 380 \text{ km in } 7 \text{ h} \]
\[ \text{remaining} = 120 \text{ km in } 3 \text{ h} \quad\Longrightarrow\quad 40 \text{ km/hr} \]
Both the distance and the time budgets have to be tracked together; either one alone would give the wrong final speed.
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