Question

A train travels a distance of 1000 km in 15 whole 1 by 2 hours 30 minutes what is the average speed of the train​

Answer 1

AnswEr :

⠀

☑ Given :

• A train travels a distance of 1000 km in $\large\tt{15\frac{1}{2}}$ hr and 30 minutes.

☑ To Find :

• Find the Speed of Train.

☑ Solution :

✯ First of all Change the Time in Hour.

» $\large\tt{15\frac{1}{2}}$ hr + 30 minutes

» $\large\tt{\frac{31}{2}}$ hr + $\large\tt{\frac{30}{60}}$ hr

» $\large\tt{\frac{31}{2}}$ hr + $\large\tt{\frac{1}{2}}$ hr

» $\large\tt{\frac{(31+1)}{2}}$ hr

» $\large\tt{\cancel\frac{32}{2}}$ hr

» 16 hr.

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• As We Know the Formula ;

$\large\boxed {\bold{Distance = Speed \times Time}}$

▣ Plugging in the Values !

$\longrightarrow \large \bold{1000 = Speed \times 16} \:$

$\longrightarrow \large \bold{Speed = \cancel\frac{1000}{16} } \:$

$\scriptsize \blacksquare \: \underline{\mathfrak{dividing \: both \: terms \: by \: 8}}$

$\longrightarrow \large \bold{Speed = \frac{125}{2} \: Km/hr } \:$

$\longrightarrow \large \boxed{\bold{Speed = 62.5 \: Km/hr}}$

$\large\therefore$ Speed of Train is 62.5 km/hr

Answer 2

$\large \mathfrak{Answer : }$

• Distance Travelled = 1000 km
• Time Taken = 15 whole 1/2 hr and 30 min.
• Speed = ?

➞ Time Taken

➞ 15 whole 1/2 hr + 30 minute

➞ 31/2 hr + 30/60 hr

➞ 31/2 hr + 1/2 hr

➞ 32/2 hr

➞ 16 hr.

__________________________________

➡ Distance = Speed × Time

➡ 1000 = Speed × 16

➡ Speed = 1000/16

➡ Speed = 125/2

➡ Speed = 62.5 km/hr