Question

david and ciara are organizing their holidays. they decided to plan a route, and when they get to flock they will visit wood island, which is 253 km from the city. they need to take a plane for that, so they looked up the info online and found that there were a few flights to the island every day. the flight takes 46 minutes.
a
what is the average speed of the flight?
express your result correct to one decimal place.
330.2 km/h
b
does the plane always travel at the same speed?
no. takeoff and landing are faster.
no. takeoff and landing are slower.
yes, but at a different speed than the average speed.
yes. it travels at the average speed.

Explanation:

Part a

Step1: Convert time to hours

The flight time is 46 minutes. Since 1 hour = 60 minutes, we convert minutes to hours by dividing by 60. So, \( t=\frac{46}{60} \) hours.

Step2: Use speed formula

The formula for speed \( v \) is \( v = \frac{d}{t} \), where \( d = 253 \) km (distance) and \( t=\frac{46}{60} \) hours (time). Substitute the values: \( v=\frac{253}{\frac{46}{60}} \).

Step3: Calculate the speed

Simplify the expression: \( v = 253\times\frac{60}{46}=\frac{15180}{46}\approx330.0 \) km/h (correct to one decimal place). Wait, the original answer had 330.2 which might be a miscalculation. Let's recalculate: \( 253\div(46\div60)=253\times(60\div46)=253\times1.3043478\approx330.0 \) (maybe the problem expects using 46/60 as a decimal: 46÷60≈0.7667, 253÷0.7667≈330.0? Wait no, 46 minutes is 46/60 = 0.766666... hours. 253 divided by 0.766666...: 253 ÷ 0.766666 ≈ 330.0? Wait no, 25360=15180, 15180÷46=330. So the correct average speed is 330.0 km/h (if we do exact division: 46330=15180, so 253 km in 46/60 hours is 330 km/h). Maybe the original 330.2 was a mistake. Let's check again: 253 divided by (46/60) = 253 60 / 46. 25360=15180. 15180÷46: 46*330=15180, so it's exactly 330.0 km/h.

Planes do not travel at a constant speed. During takeoff and landing, they are slower than the cruising speed (which is used to calculate the average speed here). So the correct option is the one stating "No. Takeoff and landing are slower."

Answer:

330.0 km/h

Part b