# IGCSE Mathematics Paper-1: Specimen Questions with Answers 104 - 105 of 324

## Question 104

### Write in Short

Short Answer▾Assume, the time in Switzerland is 3 hours ahead of California.

(a) If it is 22: 15 on Sunday in California, what time on Monday is it in Switzerland?

(b) An aircraft leaves California at 22: 15 on Sunday and arrives in Switzerland on Monday at 08: 45 local time.

(i) How long did the journey take?

(ii) Assume, the distance from California to Switzerland is 5,951 km. calculate the average speed of the aircraft.

### Explanation

Here, The time in Switzerland is 3 hours ahead of California:

(a) If it is 22: 15 on Sunday in California, then the time in Switzerland will be:

That means on **Monday** it will be:

(b) An aircraft leaves California at 22: 15 on Sunday and arrives in Switzerland on Monday at 08: 45 local time.

(i) For the **duration of the journey**:

As calculate in (a) , in Switzerland time will be 01: 15 (Monday) when 22: 15 (Sunday) in California.

Now, flight reaches at Switzerland at 8: 45,

So, journey will be of .

(ii) The distance from California to Switzerland is 5,951 km and taken time is 7: 30 = 7.5 hours= 450 minutes

So, **Average speed** =

## Question 105

### Write in Short

Short Answer▾Write down the value of x.

### Explanation

Here,

, so here, we need same fraction in right side as left side.

So,