Reshma covers $45 ext{ km}$ at a speed of $15 ext{ km/h}$ by bicycle, $80 ext{ km}$ at a speed of $40 ext{ km/h}$ by car, and another $6 ext{ km}$ at a speed of $2 ext{ km/h}$ on foot. Find her average speed for the whole journey (correct to 2 decimal places).

Question

Reshma covers $45 	ext{ km}$ at a speed of $15 	ext{ km/h}$ by bicycle, $80 	ext{ km}$ at a speed of $40 	ext{ km/h}$ by car, and another $6 	ext{ km}$ at a speed of $2 	ext{ km/h}$ on foot. Find her average speed for the whole journey (correct to 2 decimal places).

Accepted Answer

**Solution:**

1. Calculate the total distance traveled:
   - Distance by bicycle = $45 	ext{ km}$
   - Distance by car = $80 	ext{ km}$
   - Distance on foot = $6 	ext{ km}$
   - Total distance = $45 + 80 + 6 = 131 	ext{ km}$

2. Calculate the time taken for each part:
   - Time by bicycle = $\frac{45}{15} = 3$ hours
   - Time by car = $\frac{80}{40} = 2$ hours
   - Time on foot = $\frac{6}{2} = 3$ hours
   - Total time = $3 + 2 + 3 = 8$ hours

3. Calculate the average speed:
   $$	ext{Average speed} = \frac{	ext{Total distance}}{	ext{Total time}} = \frac{131}{8} = 16.375 	ext{ km/h}$$

4. Round to 2 decimal places:
   $$16.375 \approx 16.38 	ext{ km/h}$$

**Answer:** $16.38 	ext{ km/h}$

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