if rohit drives at 20kmph, he reaches office at 3 pm. if he drives at 30kmph, he reaches office at 11 am. at what speed he should drive if he wishes to reach office at 1 pm
if rohit drives at 20kmph, he reaches office at 3 pm. if he drives at 30kmph, he reaches office at 11 am. at what speed he should drive if he wishes to reach office at 1 pm
Answer: Let’s break down the given information:
- When Rohit drives at 20 km/h, he reaches the office at 3 pm.
- When he drives at 30 km/h, he reaches the office at 11 am.
We want to find the speed at which he should drive to reach the office at 1 pm.
The time taken for the journey is constant (since it’s the same distance to the office). Let’s denote this time as “t.”
Using the formula Distance = Speed × Time:
- When driving at 20 km/h, Distance = 20t
- When driving at 30 km/h, Distance = 30t
Since the distance is the same in both cases, we can set up an equation:
20t = 30t
Now, we can solve for “t”:
10t = t
This means that the time taken for the journey is the same in both cases.
Now, let’s find out how long Rohit takes to reach the office at 1 pm (2 hours earlier than 3 pm):
3 pm - 1 pm = 2 hours
So, he should take 2 hours for the journey.
Now, let’s use the time to find the required speed:
Distance = Speed × Time
Distance = 20t (since we can use either 20t or 30t since they are equal)
Speed = Distance / Time
Speed = 20t / 2
Speed = 10t
Since we previously found that 10t = t, the required speed is 10 km/h.
Therefore, Rohit should drive at 10 km/h if he wishes to reach the office at 1 pm.