All Exams Test series for 1 year @ ₹349 only
Question

Rishi travels 585 km at 65 km/hr, the next 368 km at 92 km/hr and the next 168 km at 56 km/hr. What is his average speed (in km/hr) for the whole journey? (Round off your answer to two decimal places)

The correct answer is

70.06 

To find the average speed of Rishi's entire journey, we need to calculate the total distance traveled and the total time taken for the journey.

Step 1: Calculate Total Distance

The total distance covered by Rishi is the sum of all the individual distances:

D_{\text{total}} = 585 \, \text{km} + 368 \, \text{km} + 168 \, \text{km}

Therefore,

D_{\text{total}} = 1121 \, \text{km}

Step 2: Calculate Total Time

The total time is the sum of the time taken for each segment of the journey.

The time for the first segment is the distance divided by speed:

T_1 = \frac{585}{65} \, \text{hours}

T_1 \approx 9 \, \text{hours} \, \text{(rounded to two decimal places: 9.00)}

The time for the second segment is:

T_2 = \frac{368}{92} \, \text{hours}

T_2 = 4 \, \text{hours}

The time for the third segment is:

T_3 = \frac{168}{56} \, \text{hours}

T_3 = 3 \, \text{hours}

The total time, T_{\text{total}}, is:

T_{\text{total}} = T_1 + T_2 + T_3 = 9 + 4 + 3 = 16 \, \text{hours}

Step 3: Calculate Average Speed

Now, use the formula for average speed:

\text{Average Speed} = \frac{D_{\text{total}}}{T_{\text{total}}}

\text{Average Speed} = \frac{1121}{16} \approx 70.0625 \, \text{km/hr}

Rounding off to two decimal places gives us:

70.06 \, \text{km/hr}

Conclusion:

The average speed for Rishi's whole journey is 70.06 \, \text{km/hr}. Therefore, the correct option is:

Option C: 70.06

Was this answer helpful?

Important Questions from Average Speed

  1. Daksh travels 168 km at 21 km/hr, the next 100 km at 20 km/hr and the next 371 km at 53 km/hr. What is his average speed (in km/hr) for the whole journey?

  2. A man goes to Indore from Bhopal at a speed of 9 km/hr and returns to Bhopal at speed of 18 km/hr, through the same route. What is his average speed (in km/hr) of the entire journey?

  3. A woman travels 488 km at 61 km/hr, a second distance of 468 km at 78 km/hr and a third distance of 210 km at 35 km/hr. Find her average speed for the whole journey (in km/hr).
  4. A man goes to Nagpur from Visakhapatnam at a speed of 24 km/hr and returns to Visakhapatnam at speed of 40 km/hr, through the same route. What is his average speed (in km/hr) of the entire journey?
  5. A woman travelled at a speed of 20 m/min for 90 min, and at a speed of 70 m/min for 60 min. Her average speed (in m/min) for the entire journey is:
Need Expert Advice?

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App